PCA_species

library(packrat)
library(tidyverse)
library(here)
library(Rtsne)
library(ggplot2)
library(MASS)
library(patchwork)

Swedish Dataset

PCA projection

calculate_pca <- function(feature_dataset){
  pcaY_cal <- prcomp(feature_dataset, center = TRUE, scale = TRUE)
  
  PCAresults <- data.frame(PC1 = pcaY_cal$x[, 1], 
                           PC2 = pcaY_cal$x[, 2], 
                           PC3 = pcaY_cal$x[, 3],
                           PC4 = pcaY_cal$x[, 4],
                           PC5 = pcaY_cal$x[, 5],
                           PC6 = pcaY_cal$x[, 6],
                           PC7 = pcaY_cal$x[, 7],
                           PC8 = pcaY_cal$x[, 8])
  return(list(prcomp_out =pcaY_cal,pca_components = PCAresults))
}
pca_projection <- function(prcomp_out, data_to_project){
  
  PCA <- scale(data_to_project, prcomp_out$center, prcomp_out$scale) %*% prcomp_out$rotation
  pca_projected <- data.frame(PC1=PCA[,1], PC2=PCA[,2], PC3=PCA[,3], PC4=PCA[,4], PC5=PCA[,5], PC6=PCA[,6], PC7=PCA[,7], PC8=PCA[,8]) 
  return(pca_projected)
  
}
pca_summary <- function(feature_dataset){
  pcaY_cal <- prcomp(feature_dataset, center = TRUE, scale = TRUE)
  
  return(summary(pcaY_cal))
}

data_new <- read.csv("data_all_with_label_with_species.csv", header = TRUE)
head(data_new)

  id Outlying_polar Skewed_polar Clumpy_polar Sparse_polar Striated_polar
1  1              0    0.4647634  0.008747106   0.01451443      0.9790576
2  2              0    0.4857385  0.017315129   0.01452305      0.9583333
3  3              0    0.5012453  0.012500354   0.01426503      0.9317073
4  4              0    0.5201861  0.027914033   0.01452806      0.9507389
5  5              0    0.4869435  0.017389349   0.01426882      0.9690722
6  6              0    0.4923297  0.014942354   0.01427210      0.9740933
  Convex_polar Skinny_polar Stringy_polar Monotonic_polar Outlying_contour
1  0.000150813    0.5729273     1.0000000      0.06376758                0
2  0.000103253    0.7949269     0.9842935      0.11255095                0
3  0.000630407    0.7506951     0.9705901      0.23721013                0
4  0.000817729    0.7926289     1.0000000      0.18738085                0
5  0.000248076    0.8001551     1.0000000      0.23591652                0
6  0.000499618    0.4829460     1.0000000      0.22139678                0
  Skewed_contour Clumpy_contour Sparse_contour Striated_contour Convex_contour
1      0.4751501     0.01940655     0.01409766        0.9689119    0.000310422
2      0.4952152     0.01279213     0.01426445        0.9693878    0.000266537
3      0.4977522     0.01564607     0.01438658        0.9613527    0.000808693
4      0.5037667     0.01314127     0.01426938        0.9613527    0.000827532
5      0.5318865     0.02100807     0.01452749        0.9658537    0.000330386
6      0.5127640     0.02558402     0.01453083        0.9460784    0.001116140
  Skinny_contour Stringy_contour Monotonic_contour No_of_max_ponits
1      0.7336443       1.0000000       0.018970351                1
2      0.5256318       1.0000000       0.032489786                1
3      0.6740510       0.9854371       0.000299472                2
4      0.7619754       0.9854371       0.000006900                1
5      0.5853044       1.0000000       0.000813161                2
6      0.7206323       0.9852219       0.000258387                2
  No_of_min_points  diameter     area perimeter physiological_length
1                2 1086.3931 641152.0  3330.189                 1081
2                2 1121.3028 615844.5  3377.437                 1121
3                1  982.6032 530362.0  3098.376                  981
4                2 1072.1567 688295.0  3465.028                 1065
5                3 1153.6971 727966.0  3598.934                 1150
6                1 1134.2874 693708.0  3448.439                 1133
  physiological_width aspect_ratio rectangularity circularity compactness
1                 859    0.7946346      0.6904658   0.7264957    17.29724
2                 822    0.7332739      0.6683341   0.6784322    18.52266
3                 784    0.7991845      0.6895842   0.6942471    18.10072
4                 903    0.8478873      0.7157103   0.7203956    17.44371
5                 918    0.7982609      0.6895576   0.7062738    17.79249
6                 893    0.7881730      0.6856387   0.7330633    17.14227
        NF Perimeter_ratio_diameter Perimeter_ratio_length Perimeter_ratio_lw
1 1.264718                 3.065363               3.876821           1.716592
2 1.364115                 3.012065               4.108804           1.738259
3 1.253320                 3.153232               3.952010           1.755454
4 1.187327                 3.231830               3.837240           1.760685
5 1.256751                 3.119479               3.920408           1.740297
6 1.270199                 3.040181               3.861634           1.702092
  No_of_Convex_points perimeter_convexity area_convexity area_ratio_convexity
1                  68           0.8904219    0.014397522            0.9858068
2                  75           0.8662880    0.018313064            0.9820163
3                  72           0.8638685    0.012507495            0.9876470
4                  81           0.8699294    0.009885296            0.9902115
5                  92           0.8742763    0.018706918            0.9816366
6                  83           0.8892411    0.011509165            0.9886218
  equivalent_diameter       cx       cy eccentriciry contrast
1            903.5154 820.2633 582.0648    0.7072862 69.99989
2            885.5041 794.1034 549.1505    0.6897956 80.61301
3            821.7529 861.1846 544.9286    0.6745185 63.39738
4            936.1434 853.6565 552.9909    0.5803040 68.02097
5            962.7435 834.6816 540.7553    0.6644989 57.90571
6            939.8172 828.7147 613.6394    0.6450709 52.65997
  correlation_texture inverse_difference_moments  entropy Mean_R_val Mean_G_val
1           0.9962264                  0.3725801 9.612084  150.81321   170.6326
2           0.9952217                  0.3779835 9.578235  118.23981   181.2432
3           0.9962160                  0.4038263 8.962931  106.53270   189.9617
4           0.9966206                  0.4059138 9.189744   92.80111   167.6256
5           0.9973188                  0.4095472 8.995139   76.19614   159.8481
6           0.9969713                  0.4054983 9.191944  121.09413   172.0637
  Mean_B_val Std_R_val Std_G_val Std_B_val  correlation Shape_label
1   173.2549  115.3227  88.47861  90.24107 -0.139560540     Diamond
2   159.7974  118.6380  81.71061  96.70699 -0.182890442     Diamond
3   151.1134  120.1377  82.02515 104.47941  0.017792553     Diamond
4   155.6131  116.2859  92.19866  98.64733  0.002195928     Diamond
5   150.5964  113.6976  95.46147  99.38474 -0.027970231     Diamond
6   158.9766  115.1663  84.99547  93.20973 -0.015711725     Diamond
        Species
1 Salix sinerea
2 Salix sinerea
3 Salix sinerea
4 Salix sinerea
5 Salix sinerea
6 Salix sinerea

features <- data_new[, c(3:10,12:53)] # remove Outlying_polar and Outlying_contour
pca_ref_calc <- calculate_pca(features)
# combine features and PCs' into a one dataframe
data_new$PC1 <- pca_ref_calc$pca_components$PC1
data_new$PC2 <- pca_ref_calc$pca_components$PC2
data_new$PC3 <- pca_ref_calc$pca_components$PC3
data_new$PC4 <- pca_ref_calc$pca_components$PC4
data_new$PC5 <- pca_ref_calc$pca_components$PC5
data_new$PC6 <- pca_ref_calc$pca_components$PC6
data_new$PC7 <- pca_ref_calc$pca_components$PC7
data_new$PC8 <- pca_ref_calc$pca_components$PC8

# PCA components
pca_summary(features)

Importance of components:
                          PC1    PC2    PC3     PC4     PC5     PC6     PC7
Standard deviation     3.4459 3.0760 2.3896 1.85815 1.57258 1.23017 1.21569
Proportion of Variance 0.2375 0.1892 0.1142 0.06905 0.04946 0.03027 0.02956
Cumulative Proportion  0.2375 0.4267 0.5409 0.60997 0.65943 0.68969 0.71925
                           PC8    PC9   PC10    PC11   PC12    PC13    PC14
Standard deviation     1.16107 1.1335 1.0630 0.96899 0.9539 0.91894 0.90425
Proportion of Variance 0.02696 0.0257 0.0226 0.01878 0.0182 0.01689 0.01635
Cumulative Proportion  0.74621 0.7719 0.7945 0.81329 0.8315 0.84837 0.86472
                          PC15    PC16    PC17    PC18    PC19    PC20    PC21
Standard deviation     0.88416 0.83996 0.80827 0.79022 0.76502 0.73022 0.71036
Proportion of Variance 0.01563 0.01411 0.01307 0.01249 0.01171 0.01066 0.01009
Cumulative Proportion  0.88036 0.89447 0.90754 0.92002 0.93173 0.94239 0.95249
                          PC22    PC23    PC24    PC25    PC26    PC27    PC28
Standard deviation     0.60445 0.54479 0.51885 0.47471 0.43464 0.42831 0.34604
Proportion of Variance 0.00731 0.00594 0.00538 0.00451 0.00378 0.00367 0.00239
Cumulative Proportion  0.95979 0.96573 0.97111 0.97562 0.97940 0.98307 0.98546
                          PC29   PC30    PC31    PC32    PC33    PC34    PC35
Standard deviation     0.34309 0.3392 0.32631 0.28230 0.23601 0.21885 0.19123
Proportion of Variance 0.00235 0.0023 0.00213 0.00159 0.00111 0.00096 0.00073
Cumulative Proportion  0.98782 0.9901 0.99225 0.99384 0.99496 0.99591 0.99665
                          PC36    PC37    PC38    PC39   PC40    PC41    PC42
Standard deviation     0.18858 0.17403 0.16357 0.14616 0.1417 0.09994 0.09054
Proportion of Variance 0.00071 0.00061 0.00054 0.00043 0.0004 0.00020 0.00016
Cumulative Proportion  0.99736 0.99796 0.99850 0.99893 0.9993 0.99953 0.99969
                          PC43    PC44    PC45    PC46    PC47    PC48    PC49
Standard deviation     0.07714 0.06300 0.04230 0.03792 0.03167 0.02772 0.02055
Proportion of Variance 0.00012 0.00008 0.00004 0.00003 0.00002 0.00002 0.00001
Cumulative Proportion  0.99981 0.99989 0.99992 0.99995 0.99997 0.99999 1.00000
                         PC50
Standard deviation     0.0112
Proportion of Variance 0.0000
Cumulative Proportion  1.0000

# 8 PCA components selected

# PCA table
pca_ref_calc

$prcomp_out
Standard deviations (1, .., p=50):
 [1] 3.44587083 3.07595524 2.38956050 1.85815353 1.57258317 1.23016784
 [7] 1.21568508 1.16107370 1.13348105 1.06300557 0.96899253 0.95385260
[13] 0.91894146 0.90425193 0.88415597 0.83995877 0.80827151 0.79021576
[19] 0.76502180 0.73021942 0.71036037 0.60445274 0.54479320 0.51885111
[25] 0.47470895 0.43464106 0.42831157 0.34604312 0.34308704 0.33924903
[31] 0.32630757 0.28229867 0.23600814 0.21885046 0.19123229 0.18858427
[37] 0.17402888 0.16356706 0.14616086 0.14171458 0.09994432 0.09054378
[43] 0.07713980 0.06300281 0.04229862 0.03791873 0.03166516 0.02771890
[49] 0.02054885 0.01120124

Rotation (n x k) = (50 x 50):
                                    PC1          PC2          PC3           PC4
Skewed_polar                0.045768393 -0.083325147 -0.112991125 -0.0320856242
Clumpy_polar                0.036641226 -0.074526083 -0.066282453 -0.0065318360
Sparse_polar                0.104466787 -0.207004454 -0.163242225 -0.0736106470
Striated_polar             -0.129017071  0.216318344  0.209731045  0.0078342399
Convex_polar                0.118394913 -0.214196907 -0.180141999 -0.0570575199
Skinny_polar                0.012992249 -0.087639743 -0.040897651 -0.0227146872
Stringy_polar              -0.150383967  0.135221102  0.188515445 -0.0125357665
Monotonic_polar             0.090886827  0.017868594 -0.049803427  0.1367736322
Skewed_contour              0.072319901 -0.160426629 -0.149972455  0.0078672843
Clumpy_contour              0.043521749 -0.051390282 -0.080938712  0.0509833790
Sparse_contour              0.159726613 -0.182989588 -0.169022592 -0.0227490518
Striated_contour           -0.148681113  0.211436459  0.198894103 -0.0001068346
Convex_contour              0.118190884 -0.206391552 -0.173063769 -0.0501085740
Skinny_contour              0.042675766 -0.097432084 -0.072359131  0.0434769968
Stringy_contour            -0.128806942  0.081939610  0.127442455 -0.0227353961
Monotonic_contour           0.010244760  0.035822626  0.010045974 -0.1726348879
No_of_max_ponits            0.079921652 -0.216414051 -0.195979044 -0.0033384068
No_of_min_points            0.071341466 -0.213820709 -0.181994763 -0.0067629105
diameter                    0.005923513 -0.084302079  0.111123480  0.4529983066
area                       -0.185943175 -0.213702497  0.049523587  0.1606814891
perimeter                   0.090935880 -0.197534618  0.285270699  0.1124567135
physiological_length        0.001409455 -0.066809197  0.101132159  0.4725815333
physiological_width        -0.136293760 -0.248286424  0.160003603 -0.0006419749
aspect_ratio               -0.135835823 -0.213748986  0.117369548 -0.2370678418
rectangularity             -0.152319117  0.049184583 -0.212028228 -0.0457121329
circularity                -0.248110662  0.015187738 -0.200931003  0.0222961602
compactness                 0.229617162 -0.058528546  0.231742279 -0.0102125482
NF                          0.161481762  0.202650551 -0.121097569  0.1984130987
Perimeter_ratio_diameter    0.098857923 -0.183588050  0.276417351 -0.1590156433
Perimeter_ratio_length      0.247977852  0.095538717  0.037837577  0.1217442261
Perimeter_ratio_lw          0.213552713 -0.077096985  0.223952106 -0.0780661506
No_of_Convex_points        -0.203328793 -0.006145839  0.046457983 -0.1152650300
perimeter_convexity        -0.183780567  0.118761816 -0.262206018  0.0952281351
area_convexity              0.233425326 -0.080450923  0.194002728  0.0226526678
area_ratio_convexity       -0.235612402  0.078045522 -0.193801736 -0.0263901418
equivalent_diameter        -0.179613165 -0.202911765  0.081771086  0.1892815341
cx                         -0.057360464 -0.054387773 -0.035711866  0.1187867410
cy                         -0.157909040 -0.171932330  0.046282997 -0.1239829343
eccentriciry                0.087070708  0.199154008 -0.171193455  0.2415265651
contrast                   -0.180735208 -0.046284144  0.026215148 -0.1137467078
correlation_texture         0.145887438  0.015027844 -0.017393686  0.1798761655
inverse_difference_moments  0.184131212  0.173321160 -0.019558692 -0.0065249500
entropy                    -0.166596145 -0.180006113 -0.006484823  0.1236726743
Mean_R_val                  0.134613861  0.112128264 -0.016578390 -0.0341237228
Mean_G_val                  0.169257248  0.170800192 -0.019023922 -0.2126182347
Mean_B_val                  0.129946225  0.133781943 -0.029083064 -0.0970038288
Std_R_val                   0.040058464  0.040141082  0.002699627 -0.1167942301
Std_G_val                  -0.149602762 -0.025635106  0.036557034  0.1906225030
Std_B_val                  -0.091965042 -0.003797201  0.050852029 -0.0735267659
correlation                -0.002128563  0.013190422  0.003528424 -0.0488169621
                                    PC5          PC6          PC7          PC8
Skewed_polar                0.031751291 -0.212293454  0.109139179 -0.155644228
Clumpy_polar               -0.033836491 -0.093270936  0.139547680  0.044127498
Sparse_polar               -0.053892392  0.153874863 -0.126936223 -0.149997892
Striated_polar             -0.017886327  0.052176585  0.017408203 -0.003813621
Convex_polar               -0.028981875  0.147318805 -0.144828694 -0.114541580
Skinny_polar                0.084918018 -0.435354893  0.268428654  0.226821383
Stringy_polar              -0.100195424 -0.013743737  0.108382552 -0.117972298
Monotonic_polar             0.168194497  0.317327133 -0.120172239  0.269660149
Skewed_contour              0.025735231  0.089227900  0.010230886  0.008865930
Clumpy_contour              0.047609217  0.076582247 -0.029913541  0.233667295
Sparse_contour              0.005465171  0.156856557 -0.147452270 -0.039430625
Striated_contour           -0.019634581 -0.023366383  0.059152594 -0.008713713
Convex_contour             -0.030660348  0.149128409 -0.151320216 -0.127988040
Skinny_contour              0.031499742 -0.252861325  0.270744544  0.248402816
Stringy_contour            -0.093074768  0.039235355  0.077113565 -0.053658789
Monotonic_contour           0.073810116 -0.307022246 -0.141216884 -0.465794197
No_of_max_ponits           -0.041557319 -0.189100813  0.086285836  0.039131598
No_of_min_points           -0.059020054 -0.228572038  0.112555346  0.031963183
diameter                   -0.120437547 -0.118291164 -0.120246378 -0.125354958
area                       -0.067139364 -0.004126149  0.035947971 -0.086043834
perimeter                  -0.032226929 -0.026573612 -0.030563030 -0.041169223
physiological_length       -0.131100303 -0.094146419 -0.122862684 -0.097916360
physiological_width        -0.074138943  0.054911432  0.046551008 -0.024616340
aspect_ratio               -0.005441387  0.099974705  0.109726182  0.013283197
rectangularity              0.107769788 -0.061082106  0.077919666 -0.115159205
circularity                -0.019898833  0.049808629  0.059293284 -0.006772542
compactness                 0.028480235 -0.020884149 -0.029830668  0.034222923
NF                          0.016555429 -0.116895448 -0.066235247 -0.059031688
Perimeter_ratio_diameter    0.039856478  0.039965800  0.041476734  0.020069042
Perimeter_ratio_length      0.050021918 -0.121536680 -0.064237339 -0.041034235
Perimeter_ratio_lw          0.075271029 -0.048362540 -0.013103188 -0.004343058
No_of_Convex_points         0.052575121  0.087188373 -0.074875680 -0.087412654
perimeter_convexity        -0.026542440  0.020806474  0.038873925 -0.025157856
area_convexity              0.043599474 -0.010408483  0.005024387  0.058648850
area_ratio_convexity       -0.039516563  0.010546416 -0.006664772 -0.051796692
equivalent_diameter        -0.078459774 -0.021466823  0.001350723 -0.103027705
cx                         -0.005412173  0.244273888  0.230516805  0.088435974
cy                          0.033115039 -0.087892074  0.089791718 -0.144522586
eccentriciry               -0.012794591 -0.102786041 -0.128543144 -0.003383153
contrast                   -0.037524359 -0.207012537 -0.449675125  0.307654452
correlation_texture         0.053507713  0.252087140  0.473419118 -0.306556130
inverse_difference_moments  0.273346490  0.049235498  0.110504388 -0.074732436
entropy                    -0.255934561 -0.008738006 -0.031152023  0.071323631
Mean_R_val                 -0.427855699  0.029815114 -0.021328572  0.098320268
Mean_G_val                 -0.160665311 -0.031908601 -0.023052052 -0.004474780
Mean_B_val                 -0.417217557  0.028596263  0.052482882  0.023346623
Std_R_val                  -0.442757095  0.082070019  0.038578676 -0.053734403
Std_G_val                   0.236513169  0.092765582 -0.070395444  0.089129519
Std_B_val                   0.241785291  0.028275356 -0.129164362  0.001724213
correlation                 0.076045827 -0.093256000 -0.215341166 -0.337598945
                                    PC9        PC10         PC11         PC12
Skewed_polar                0.064039756 -0.01090359  0.406737083 -0.117419288
Clumpy_polar                0.188055405 -0.07104245 -0.533801929  0.621333994
Sparse_polar               -0.100327068 -0.16086939  0.070246173  0.077045786
Striated_polar             -0.050178722  0.01505585 -0.011390859 -0.039088680
Convex_polar               -0.061386724 -0.14962568  0.038735039  0.068008301
Skinny_polar                0.171755926 -0.09023376  0.050960308 -0.087530215
Stringy_polar              -0.135131416 -0.14559705  0.041026017 -0.017055912
Monotonic_polar             0.314172275  0.20656633  0.040794875  0.088477627
Skewed_contour              0.155004104 -0.01847947 -0.055089199 -0.054127957
Clumpy_contour              0.173063142  0.28806816 -0.073582775 -0.502420347
Sparse_contour             -0.041597905 -0.02546458 -0.002053339 -0.034749140
Striated_contour           -0.017410058 -0.02626822 -0.021682531 -0.011160593
Convex_contour             -0.083069389 -0.12639138  0.010537220  0.001914732
Skinny_contour              0.128893827  0.04043729  0.317676858  0.218318796
Stringy_contour            -0.089360664 -0.30225683  0.161028463  0.115657513
Monotonic_contour           0.130840457  0.07743944 -0.310392239 -0.214513685
No_of_max_ponits           -0.131814366 -0.08843377 -0.013226498 -0.074173368
No_of_min_points           -0.165170377 -0.11916445 -0.032300581 -0.107455958
diameter                    0.043691992 -0.05500080 -0.032071112 -0.040251665
area                        0.048405096  0.08105258 -0.028367587 -0.020710988
perimeter                   0.046990165 -0.01349617 -0.001471801 -0.020731666
physiological_length        0.015604665 -0.06419381 -0.016653602 -0.024456826
physiological_width        -0.034418502  0.04247051  0.018024574 -0.008779569
aspect_ratio               -0.025205110  0.06449217  0.029817261 -0.003088916
rectangularity              0.239761393  0.07455473 -0.059719374 -0.037032210
circularity                 0.020797844  0.04422752  0.007419254 -0.007787465
compactness                 0.013558313 -0.02039450  0.001966284 -0.005760240
NF                          0.049196132 -0.04989375 -0.029584763 -0.001715190
Perimeter_ratio_diameter    0.037295275  0.01449410  0.018710099 -0.002874943
Perimeter_ratio_length      0.089326988 -0.01308811 -0.049007421 -0.020620736
Perimeter_ratio_lw          0.094505874  0.00689778 -0.026649318 -0.019811462
No_of_Convex_points         0.171603030 -0.02210056 -0.011599583 -0.110377224
perimeter_convexity        -0.028507764  0.01739922 -0.001539804  0.008669287
area_convexity              0.008808855  0.04834558 -0.025442808  0.004237551
area_ratio_convexity       -0.005062273 -0.04539313  0.025272542 -0.009802165
equivalent_diameter         0.059939153  0.03922362 -0.025100151 -0.038858965
cx                          0.081510578  0.05154058 -0.196268087 -0.023707106
cy                          0.064974153  0.20979364 -0.180598730 -0.043257439
eccentriciry                0.009739655 -0.01053154 -0.068961112 -0.013781485
contrast                   -0.025630852 -0.03323266 -0.017760849  0.049571757
correlation_texture         0.101215292 -0.01794726  0.063957498 -0.048724119
inverse_difference_moments -0.123847615 -0.05031172  0.003411884 -0.010700786
entropy                     0.102753919  0.05270702  0.027266648  0.015682191
Mean_R_val                  0.035972431  0.07300031  0.088183084 -0.017926376
Mean_G_val                  0.132740495 -0.09320388 -0.031213073 -0.053479701
Mean_B_val                  0.049612565  0.10891861  0.027941953 -0.005291036
Std_R_val                   0.454255894 -0.21866951  0.062637649 -0.069334943
Std_G_val                   0.055224050 -0.23136525  0.169602934  0.044725942
Std_B_val                   0.446456409 -0.51118928  0.036734804 -0.088366175
correlation                 0.221975029  0.41615747  0.407063925  0.382766108
                                   PC13         PC14          PC15
Skewed_polar                0.187899401 -0.219994673  0.7218716205
Clumpy_polar                0.288418549  0.179074543  0.3067886797
Sparse_polar                0.091349215 -0.001317738  0.0113366282
Striated_polar              0.006778555 -0.001482595  0.0217947946
Convex_polar                0.049263851 -0.003868944  0.0173776077
Skinny_polar               -0.087530616 -0.057828847  0.0075039353
Stringy_polar               0.098559022  0.027340994  0.0095527121
Monotonic_polar            -0.188741360  0.028626815  0.1992416749
Skewed_contour             -0.141867417  0.050113234 -0.0111419564
Clumpy_contour              0.633545325  0.285414686 -0.0073486583
Sparse_contour             -0.008004318 -0.040178255 -0.0530068194
Striated_contour            0.057141046 -0.008276797  0.0754171643
Convex_contour              0.016721211 -0.002574064 -0.0268506393
Skinny_contour             -0.026875564  0.065224144 -0.3437501682
Stringy_contour             0.359177020  0.008743970 -0.0314529941
Monotonic_contour          -0.035514997 -0.087470551 -0.0488429768
No_of_max_ponits           -0.010788752  0.003937009 -0.0522570731
No_of_min_points           -0.012351371  0.007616348 -0.0761071189
diameter                    0.012005788  0.011459261 -0.0228926841
area                       -0.045641611  0.032911640  0.0100794414
perimeter                  -0.016520761 -0.012301732  0.0286022200
physiological_length        0.023633645  0.017234546 -0.0101558548
physiological_width         0.026430785  0.040981512  0.0015350746
aspect_ratio               -0.001224382  0.029450459 -0.0003262034
rectangularity             -0.218340994 -0.022300597  0.0421003002
circularity                -0.036434474  0.030807213  0.0007414606
compactness                 0.003487420 -0.043398859  0.0243595426
NF                         -0.017207080 -0.027866922 -0.0095002297
Perimeter_ratio_diameter   -0.036779009 -0.019924196  0.0453904158
Perimeter_ratio_length     -0.060047526 -0.062581876  0.0157463153
Perimeter_ratio_lw         -0.068050694 -0.057448862  0.0367487425
No_of_Convex_points        -0.217368130  0.075510619  0.1883887094
perimeter_convexity         0.011431498  0.051485736 -0.0362457941
area_convexity             -0.022079393  0.006064926 -0.0062886163
area_ratio_convexity        0.015229605 -0.004878376  0.0097258737
equivalent_diameter        -0.049723164  0.030837476  0.0045882546
cx                          0.175564497 -0.852356676 -0.1184398134
cy                         -0.024912086  0.026473134 -0.0639902346
eccentriciry                0.032693624 -0.050824547 -0.0005011520
contrast                   -0.001829943 -0.154502904  0.0582442209
correlation_texture        -0.048194281  0.166106033 -0.0272306559
inverse_difference_moments  0.026350734  0.012577059  0.0047738247
entropy                    -0.012313019 -0.013017592 -0.0064748718
Mean_R_val                 -0.066834545  0.011137706  0.0850397728
Mean_G_val                  0.070887855 -0.024961282 -0.1012887055
Mean_B_val                 -0.115570300 -0.018264579  0.0873670524
Std_R_val                  -0.040472616  0.020911231 -0.0689020227
Std_G_val                  -0.110053127  0.043816365  0.1319703375
Std_B_val                   0.141220838 -0.007683710 -0.1889112023
correlation                 0.236353008 -0.080685375 -0.2337780011
                                    PC16         PC17          PC18
Skewed_polar                0.0979280229 -0.149075228  2.329052e-01
Clumpy_polar               -0.0921207396  0.080408857  7.077665e-02
Sparse_polar               -0.0810133440 -0.106635270 -1.572955e-01
Striated_polar             -0.0585419559  0.059136340  1.097820e-01
Convex_polar               -0.0616012122 -0.097848677 -1.446245e-01
Skinny_polar                0.2423271657  0.300599091 -5.445630e-01
Stringy_polar              -0.1382574036  0.086359554  4.529753e-02
Monotonic_polar             0.2463954092 -0.325887555 -2.443006e-01
Skewed_contour              0.2312886015  0.252566564  2.467525e-01
Clumpy_contour             -0.2279737902  0.066436698 -3.728403e-02
Sparse_contour             -0.0478603760  0.030638966 -6.428582e-02
Striated_contour            0.0183572787  0.013006810 -1.575263e-02
Convex_contour             -0.1077963753  0.007104785 -8.374066e-02
Skinny_contour             -0.3295398892 -0.470137092  2.014978e-01
Stringy_contour             0.0401445822 -0.274810028 -4.564437e-01
Monotonic_contour          -0.0658125478 -0.209399796 -2.191045e-01
No_of_max_ponits           -0.0151953290  0.103934083  7.960673e-02
No_of_min_points           -0.0454053119  0.102904216  1.185913e-01
diameter                    0.0632935135 -0.071702911  4.663158e-02
area                        0.0004380915 -0.034534417 -3.382642e-02
perimeter                  -0.0696620059 -0.006362681 -1.217727e-02
physiological_length        0.0719099078 -0.036301373  4.984460e-02
physiological_width         0.1025392463 -0.010376806  1.544250e-02
aspect_ratio                0.0659218473  0.002058227  3.739641e-03
rectangularity             -0.3361553708 -0.031094184 -1.115420e-01
circularity                 0.0185929632  0.016538519 -1.853672e-02
compactness                -0.0802263866  0.029353642 -8.261319e-03
NF                         -0.1063397768 -0.015784154 -2.319009e-02
Perimeter_ratio_diameter   -0.1179980961  0.032064730 -3.048817e-02
Perimeter_ratio_length     -0.1789160674 -0.004924351 -3.094938e-02
Perimeter_ratio_lw         -0.1916208361  0.001671906 -3.836777e-02
No_of_Convex_points        -0.2657212461 -0.011303376  4.754545e-02
perimeter_convexity         0.1040425491 -0.036845843  1.863289e-05
area_convexity              0.0724776968 -0.010483033  1.744721e-02
area_ratio_convexity       -0.0748138198  0.022861246 -1.120148e-02
equivalent_diameter         0.0197234544 -0.046454961  9.383347e-03
cx                         -0.1089334662  0.034085299  1.990738e-02
cy                          0.1339649782 -0.243820796  6.639591e-02
eccentriciry                0.0358690520 -0.058500103  4.806466e-03
contrast                   -0.0830273420  0.001494973  2.626409e-02
correlation_texture        -0.0183069785  0.076807911 -6.550170e-02
inverse_difference_moments  0.0161926179  0.015569746  3.990688e-02
entropy                    -0.0182858325  0.043457269 -8.962012e-02
Mean_R_val                 -0.0632360252  0.082085949 -1.232144e-01
Mean_G_val                  0.1839057380 -0.102874115  1.432360e-01
Mean_B_val                 -0.1289330269  0.041220107 -4.093615e-02
Std_R_val                  -0.0139508528  0.048486519  7.003657e-02
Std_G_val                  -0.3639574243  0.281321068 -8.616122e-02
Std_B_val                   0.1727639572  0.002069950  1.957373e-01
correlation                 0.0431649413  0.351607433 -2.345453e-02
                                    PC19          PC20         PC21
Skewed_polar                7.145996e-05 -0.0075868344 -0.006683535
Clumpy_polar               -4.492381e-02 -0.0597047284 -0.013602112
Sparse_polar               -1.306899e-02 -0.1069771546  0.055712841
Striated_polar             -1.271183e-01 -0.0187062167  0.094714972
Convex_polar               -1.863678e-02 -0.0984823003  0.050591370
Skinny_polar               -1.606176e-01 -0.2654731213  0.232940148
Stringy_polar              -2.677970e-01 -0.0437268134  0.219057980
Monotonic_polar            -2.795850e-02  0.0365501685 -0.133491588
Skewed_contour             -5.638746e-01  0.5727191782  0.074241595
Clumpy_contour             -5.227198e-02 -0.0141032986  0.019328572
Sparse_contour             -1.213035e-01 -0.0803126120  0.161013720
Striated_contour            2.812039e-02  0.0660949950 -0.041780356
Convex_contour             -1.471840e-01 -0.1530391077  0.198108473
Skinny_contour             -2.794880e-01 -0.0725032960 -0.039240323
Stringy_contour            -9.065200e-02  0.4936415981  0.044780637
Monotonic_contour          -2.647507e-01  0.0005535196 -0.480379741
No_of_max_ponits            1.752305e-01  0.1551527583 -0.176675077
No_of_min_points            1.488171e-01  0.1431183630 -0.141303402
diameter                   -8.199289e-02 -0.0933936412  0.081117585
area                        8.105937e-02  0.0457316759  0.057580761
perimeter                   2.488202e-02  0.0192468015  0.047868221
physiological_length       -8.848317e-02 -0.0918426140  0.033713498
physiological_width        -4.117529e-02 -0.0758130088 -0.058569721
aspect_ratio               -1.861442e-02 -0.0477062277 -0.059412267
rectangularity              2.648495e-01  0.2726616488  0.276583712
circularity                 3.378638e-02  0.0009958421 -0.008432248
compactness                 2.733881e-02  0.0444495277  0.018191130
NF                          4.041885e-02  0.0915658413  0.103164363
Perimeter_ratio_diameter    5.937579e-02  0.0693793161  0.011766759
Perimeter_ratio_length      1.003774e-01  0.1503896885  0.153827850
Perimeter_ratio_lw          1.091345e-01  0.1295956169  0.117826857
No_of_Convex_points        -1.703677e-01 -0.1001967900  0.268615064
perimeter_convexity        -3.391371e-02 -0.0543202467 -0.040105412
area_convexity              8.315155e-03  0.0285209109 -0.035336745
area_ratio_convexity        8.633920e-04 -0.0279662578  0.041444773
equivalent_diameter         1.170259e-02 -0.0214491638  0.075972371
cx                         -7.831319e-02 -0.0326473608 -0.021511417
cy                         -5.314233e-02 -0.0581408764  0.161496038
eccentriciry                9.773863e-03 -0.0030099764  0.087647462
contrast                   -6.945576e-02  0.0353114612 -0.014291914
correlation_texture         6.828687e-02 -0.0370704753 -0.102406257
inverse_difference_moments -1.365765e-01 -0.0955380049 -0.007158131
entropy                     1.840701e-01  0.1507281852 -0.077903472
Mean_R_val                 -9.455313e-02  0.0303118902 -0.120495008
Mean_G_val                 -8.853049e-03 -0.0913234365  0.137562325
Mean_B_val                 -1.478162e-01 -0.0880457341 -0.076634749
Std_R_val                   9.119030e-02 -0.0785458772 -0.101663453
Std_G_val                  -1.700997e-01 -0.0811578558 -0.420565754
Std_B_val                   1.513197e-01 -0.0674109444 -0.033511783
correlation                 2.103296e-02  0.0191699364  0.008679683
                                   PC22         PC23         PC24          PC25
Skewed_polar                0.126639309 -0.016025198 -0.012821270  0.0538306849
Clumpy_polar               -0.003018165 -0.023274795 -0.080633767 -0.0002919389
Sparse_polar               -0.060617926  0.280631979  0.252724770 -0.2408610838
Striated_polar              0.118415144 -0.207528830 -0.112452274  0.0891440798
Convex_polar               -0.030236508  0.146000304  0.137817018 -0.1251732603
Skinny_polar                0.015463038  0.050098991  0.013150137 -0.0137456334
Stringy_polar               0.151617179 -0.472647362 -0.021692273 -0.3669347710
Monotonic_polar            -0.157532045 -0.377635768 -0.072030249 -0.2685369213
Skewed_contour              0.064755960  0.164885792  0.103445573 -0.0670420124
Clumpy_contour             -0.023007555  0.020661933  0.052767980 -0.0505261613
Sparse_contour              0.203541472 -0.251903472 -0.201383261  0.2844110615
Striated_contour           -0.083033844  0.163069700  0.128571805 -0.1043246585
Convex_contour              0.159001967 -0.225651299 -0.124403694  0.0961493983
Skinny_contour              0.079501011  0.083920588 -0.086897800 -0.0170263275
Stringy_contour            -0.184617680 -0.075360500 -0.012584944  0.2263175362
Monotonic_contour           0.116847886 -0.008240197 -0.171687030 -0.0683923172
No_of_max_ponits           -0.307247764 -0.295674428 -0.071617556 -0.0709310232
No_of_min_points           -0.336519995 -0.249602720 -0.076480982 -0.0532254055
diameter                   -0.099738959  0.003440018  0.076452286 -0.0891006615
area                        0.047901400  0.004913170 -0.034907903 -0.0300059545
perimeter                  -0.029729249  0.016842170  0.017311272 -0.0617234197
physiological_length       -0.101017825  0.022212462 -0.013326136 -0.0794344307
physiological_width        -0.029291625  0.012762518 -0.036279084 -0.0498631673
aspect_ratio                0.010070116 -0.007636051 -0.004066405 -0.0796888282
rectangularity              0.140763192 -0.081641509  0.155409934 -0.1603394557
circularity                 0.018604892  0.012448831 -0.064661783  0.0265226731
compactness                -0.019871880  0.044991890 -0.041092923  0.0454486034
NF                          0.017152935  0.016288568  0.036549972 -0.0422849189
Perimeter_ratio_diameter    0.011663640  0.005707937 -0.007677595 -0.0624555616
Perimeter_ratio_length      0.026735419  0.012429496 -0.003675593 -0.0454519776
Perimeter_ratio_lw          0.025235772 -0.009692708  0.061131689 -0.0218478159
No_of_Convex_points        -0.571862923  0.166976857 -0.354252932  0.2168398248
perimeter_convexity         0.027031821 -0.008216419  0.036510257  0.0711167159
area_convexity              0.026028081 -0.050052018  0.026792471  0.2351541605
area_ratio_convexity       -0.042972013  0.068156325 -0.052003211 -0.1997809371
equivalent_diameter        -0.035514256 -0.013538581  0.010780974 -0.1337604810
cx                         -0.098582354  0.026704846 -0.019052413 -0.0147953109
cy                         -0.099062936 -0.161423487  0.460557984  0.3388658815
eccentriciry               -0.041916966 -0.025044511  0.040623959  0.3194168509
contrast                   -0.003263301 -0.053940771  0.126448194 -0.0071143811
correlation_texture         0.017452541  0.024067094 -0.053274086  0.0821616038
inverse_difference_moments -0.171732556 -0.028599431  0.081503585 -0.0863891485
entropy                     0.277488083  0.056478182 -0.181956828  0.1386268874
Mean_R_val                 -0.002453608  0.164216429 -0.274956801 -0.0451689787
Mean_G_val                 -0.111043575 -0.023684393  0.037314818 -0.0990342336
Mean_B_val                 -0.164218920 -0.112969938  0.263463126  0.0168101671
Std_R_val                   0.017297665 -0.138607742  0.212824464  0.0962577910
Std_G_val                   0.003646102 -0.088059315  0.314228646  0.1832588164
Std_B_val                   0.034708161  0.003658480 -0.139656588 -0.0312666204
correlation                -0.173719415 -0.092638415 -0.026904526 -0.0146575828
                                   PC26         PC27         PC28         PC29
Skewed_polar               -0.007908471 -0.021477034 -0.004909457 -0.008221326
Clumpy_polar               -0.001877287 -0.037428941  0.004793093 -0.015632864
Sparse_polar                0.098693390  0.329646336  0.003099144 -0.274194298
Striated_polar             -0.007580035 -0.019450513 -0.047655451  0.280681491
Convex_polar                0.093164349  0.109361335 -0.049465297  0.329095830
Skinny_polar               -0.029876360  0.038627579  0.005115689  0.042265487
Stringy_polar               0.196852692  0.379099105 -0.014673469 -0.178077729
Monotonic_polar             0.017404320  0.108791597 -0.031913228  0.086781915
Skewed_contour             -0.028723963  0.053905058  0.005856783  0.060777174
Clumpy_contour             -0.012337524  0.005861523  0.012558534  0.002733460
Sparse_contour             -0.089452940 -0.138292595 -0.006239889 -0.297632025
Striated_contour            0.065165740  0.190284925 -0.054715191  0.259195055
Convex_contour             -0.006532015 -0.137080208 -0.033337918  0.403787920
Skinny_contour             -0.012840813  0.044330694  0.020318643  0.054170210
Stringy_contour            -0.079133071 -0.160861699  0.027604785 -0.055918576
Monotonic_contour          -0.058832765  0.062703980  0.025935689 -0.004227028
No_of_max_ponits            0.082469860  0.074875594 -0.056518135  0.039337769
No_of_min_points            0.026806664  0.041514465 -0.004241844  0.072261054
diameter                   -0.015873637 -0.186176223  0.028867308 -0.075014744
area                       -0.026071540  0.012771257  0.036135322 -0.005667913
perimeter                  -0.038242759 -0.023246220  0.005713874  0.096248900
physiological_length       -0.038992942 -0.092142188 -0.021460072 -0.030228508
physiological_width        -0.015333203 -0.051423876  0.036076321  0.028577235
aspect_ratio                0.021461379 -0.128656425  0.065168563 -0.036234382
rectangularity              0.092449924 -0.153957305  0.081117718 -0.133719172
circularity                 0.007878347  0.070101140  0.029382382 -0.051636075
compactness                -0.041848670  0.112385250 -0.068618781  0.109027564
NF                         -0.013507179 -0.053099334 -0.132280359 -0.009785237
Perimeter_ratio_diameter   -0.013600444  0.013541131 -0.004687486  0.113019017
Perimeter_ratio_length      0.011471517 -0.035999310 -0.111288528  0.001898002
Perimeter_ratio_lw          0.009056186 -0.005368780  0.001641736  0.065163754
No_of_Convex_points        -0.049276379  0.175600396  0.021885001 -0.092085742
perimeter_convexity         0.023842511  0.060715491 -0.006360492 -0.114447530
area_convexity              0.119538041  0.191704568  0.098739447 -0.291813343
area_ratio_convexity       -0.121096643 -0.165852193 -0.092435785  0.272929246
equivalent_diameter         0.012680221 -0.169404365  0.081495479 -0.068283043
cx                          0.031285010  0.007438483  0.002974962 -0.015839279
cy                          0.382907850 -0.052898189 -0.252615890  0.093821529
eccentriciry                0.150179352  0.373477924  0.172808633  0.230414559
contrast                   -0.006569795 -0.035984125  0.100704800 -0.056506934
correlation_texture        -0.013993611  0.061322565 -0.119769540  0.022319344
inverse_difference_moments  0.097807983 -0.236679298  0.308133352 -0.035018397
entropy                    -0.078115849  0.289434127 -0.253615975  0.015671397
Mean_R_val                  0.713927806 -0.253659519 -0.060873822 -0.023073322
Mean_G_val                 -0.149143310 -0.053042221 -0.344826183 -0.058951367
Mean_B_val                 -0.311595699 -0.065119267 -0.332963929 -0.130939094
Std_R_val                  -0.086391743  0.036261177  0.550289659  0.106606824
Std_G_val                   0.066510842 -0.070803915 -0.183127713 -0.020765525
Std_B_val                   0.188680739 -0.044698945 -0.248125666 -0.084236313
correlation                 0.024413236  0.030163457 -0.006152493  0.016474627
                                    PC30         PC31         PC32         PC33
Skewed_polar                1.692157e-03  0.013703007  0.014915646 -0.005429749
Clumpy_polar                1.756718e-02 -0.017176344  0.035794219 -0.005156260
Sparse_polar               -8.246770e-02 -0.154067146  0.331720912  0.003749181
Striated_polar              1.568279e-01  0.026871798  0.561255849  0.043882853
Convex_polar                1.843618e-01  0.234119096 -0.029543840 -0.001681858
Skinny_polar                2.907192e-05  0.010289764  0.067485033  0.010441871
Stringy_polar              -1.097347e-01 -0.007071164 -0.225221795 -0.038141818
Monotonic_polar            -5.142930e-02 -0.013252881  0.068654953 -0.064450903
Skewed_contour              4.103981e-03 -0.018511979  0.007421582  0.011743608
Clumpy_contour              1.721838e-02  0.026884195 -0.004629992  0.003363194
Sparse_contour             -9.657688e-02 -0.244587466  0.431065320  0.024359332
Striated_contour            2.186301e-01  0.124559551  0.428464478  0.074550508
Convex_contour              1.851524e-01  0.255512027 -0.200521537  0.019540631
Skinny_contour              3.877814e-02 -0.008853565  0.066533875  0.034584022
Stringy_contour             9.723373e-03 -0.006712341 -0.048816803 -0.003354309
Monotonic_contour           3.000607e-02 -0.006308736  0.015815817 -0.001505854
No_of_max_ponits           -7.241855e-03  0.019169549  0.071796201  0.662894188
No_of_min_points            5.845476e-02  0.001154635  0.166852443 -0.645490432
diameter                    1.604318e-01 -0.033287613  0.021431102 -0.030442119
area                        4.133564e-02 -0.009779758  0.016955927  0.046317404
perimeter                  -2.615170e-02 -0.106038685 -0.023210991  0.019542263
physiological_length       -9.459799e-02  0.098592706  0.034025603  0.032480901
physiological_width         6.631484e-02 -0.115598203 -0.018369100 -0.008678764
aspect_ratio                2.363434e-01 -0.179876141 -0.016867966 -0.060875151
rectangularity              3.037840e-01 -0.007832064  0.019146587 -0.003613631
circularity                 7.057118e-02  0.051473494  0.010886585  0.007251752
compactness                -1.390375e-01 -0.032734704 -0.012994034 -0.009606183
NF                         -2.035872e-01  0.189659709  0.047374915 -0.031357902
Perimeter_ratio_diameter   -6.407665e-02 -0.098848933 -0.041893513  0.019830263
Perimeter_ratio_length     -1.650412e-01  0.078706693  0.057973389 -0.018962154
Perimeter_ratio_lw          5.595598e-02 -0.133892006 -0.017599650 -0.010555903
No_of_Convex_points        -4.490593e-02  0.112395784 -0.047729732  0.001235881
perimeter_convexity         6.354108e-02  0.238868119  0.017852480 -0.019942011
area_convexity              3.062422e-01  0.311441192 -0.002698208 -0.006407426
area_ratio_convexity       -2.872253e-01 -0.290006631  0.006200995  0.004642210
equivalent_diameter         1.895079e-01 -0.076688932  0.016635522  0.012793748
cx                          3.059343e-03  0.044856793 -0.021559450 -0.009762451
cy                         -2.967133e-01  0.027883691  0.028455763 -0.014946497
eccentriciry                2.613521e-01 -0.574874186 -0.175886097  0.009989791
contrast                   -3.552575e-03  0.065241494  0.014280445  0.016742052
correlation_texture        -1.704296e-02 -0.034847248  0.006125315 -0.009519509
inverse_difference_moments  5.291160e-02  0.012200161  0.001081598  0.060775103
entropy                    -3.235540e-02  0.080590339 -0.036594663 -0.061596089
Mean_R_val                  6.892395e-03 -0.055303354  0.013461095 -0.025783420
Mean_G_val                  2.063318e-01 -0.053586732 -0.025042617 -0.208311677
Mean_B_val                  2.302704e-01 -0.097119041 -0.080390628  0.188227438
Std_R_val                  -2.145039e-01  0.104774024  0.072488512 -0.021427218
Std_G_val                   2.416026e-02 -0.054920354 -0.033825562 -0.122829552
Std_B_val                   1.016552e-01 -0.067121718 -0.020768774  0.115952594
correlation                 2.730768e-02  0.015591010  0.025359397 -0.025054912
                                    PC34          PC35          PC36
Skewed_polar               -3.054359e-03 -0.0066938471 -0.0028367381
Clumpy_polar                3.402950e-03 -0.0020430486  0.0123235627
Sparse_polar               -1.904433e-02 -0.0546030215  0.0130498064
Striated_polar             -4.690275e-02 -0.1050264134  0.0615646450
Convex_polar               -3.737612e-02  0.0103714021  0.0407222041
Skinny_polar                1.601323e-03 -0.0129890726 -0.0032009315
Stringy_polar              -4.943797e-03  0.0523531860 -0.0034789453
Monotonic_polar            -5.044941e-03  0.0190138087 -0.0049457872
Skewed_contour             -5.098395e-03 -0.0050258879 -0.0033046852
Clumpy_contour              3.544055e-03 -0.0049118262 -0.0059069437
Sparse_contour              2.624855e-02  0.0551120243  0.0245027663
Striated_contour            2.782377e-02  0.1329531217 -0.0865702972
Convex_contour             -5.329966e-03  0.0035823186 -0.0696569955
Skinny_contour              2.555318e-05  0.0007391522 -0.0047434023
Stringy_contour             8.911873e-03 -0.0231423995  0.0087315395
Monotonic_contour           9.042190e-03 -0.0173913847  0.0177770452
No_of_max_ponits            2.331725e-01  0.0734774692  0.0829671167
No_of_min_points           -2.117364e-01 -0.0642141766 -0.0773232738
diameter                    7.192514e-02  0.2709361506  0.0215295021
area                       -9.205164e-02 -0.0500537692 -0.1154093565
perimeter                  -3.761210e-02 -0.0617669652  0.1416993612
physiological_length        1.864372e-02 -0.3025944229  0.0653952384
physiological_width        -3.808746e-02  0.2128494121 -0.0161223119
aspect_ratio                1.464886e-02  0.5818098068  0.0292975237
rectangularity              6.330190e-02 -0.0874335526  0.0297571881
circularity                -1.444415e-01 -0.1337418004  0.4026349411
compactness                -1.563715e-01  0.1122298630  0.3227039712
NF                         -5.529912e-02  0.4418843710 -0.0652827883
Perimeter_ratio_diameter   -2.972805e-02 -0.2311832840  0.1471817491
Perimeter_ratio_length     -6.236904e-02  0.1908230303 -0.0048460968
Perimeter_ratio_lw         -4.352157e-03 -0.0088561632  0.0659086330
No_of_Convex_points         5.492450e-02  0.0746375036 -0.0145311400
perimeter_convexity        -1.100960e-01  0.0978086495  0.2354691718
area_convexity             -1.698871e-02 -0.0182758658  0.0049919826
area_ratio_convexity       -5.176978e-02  0.0337015922  0.0987980125
equivalent_diameter         3.271806e-02 -0.1234769846  0.0493606498
cx                          3.088968e-02  0.0006411403 -0.0182759204
cy                         -4.326837e-02  0.0020726231  0.0481494798
eccentriciry               -1.467991e-02  0.0401402678 -0.0021945638
contrast                   -4.174537e-02  0.0397957689 -0.0607331294
correlation_texture         5.021707e-02  0.0144500175 -0.1640194954
inverse_difference_moments -2.757671e-01  0.0562936089  0.5082842480
entropy                    -6.305715e-02  0.1509445603  0.3891465756
Mean_R_val                  1.226982e-02 -0.0420344136  0.0104662599
Mean_G_val                  5.485607e-01 -0.0562491957  0.3025664949
Mean_B_val                 -4.750103e-01 -0.0516309335 -0.0968419916
Std_R_val                   7.585048e-02  0.0567629945  0.0305747998
Std_G_val                   2.545355e-01  0.0104360764  0.0934816560
Std_B_val                  -3.420871e-01 -0.0289988951 -0.0979516969
correlation                -7.093167e-03 -0.0038934535  0.0005376485
                                    PC37          PC38          PC39
Skewed_polar                0.0011663243  0.0037368531  0.0055140399
Clumpy_polar               -0.0005873919  0.0041867140  0.0041937755
Sparse_polar               -0.1688992014  0.2178581854 -0.1793017335
Striated_polar             -0.5312932477  0.1886972864  0.0406554660
Convex_polar               -0.1432487395 -0.2601311420  0.3110892606
Skinny_polar               -0.0467459008  0.0088674595 -0.0013233578
Stringy_polar               0.0673219447 -0.0848469054  0.0527700405
Monotonic_polar             0.0009235823 -0.0006843741 -0.0178561410
Skewed_contour             -0.0073231951  0.0021948044  0.0016782297
Clumpy_contour             -0.0111721617  0.0010295707 -0.0004955953
Sparse_contour              0.3099171044 -0.2252096147  0.0987409171
Striated_contour            0.5987853005 -0.1992164777 -0.1201638932
Convex_contour              0.1740674278  0.1873936923 -0.2524634986
Skinny_contour              0.0467606719 -0.0125233220 -0.0148007086
Stringy_contour            -0.0281091253  0.0340086404  0.0086266179
Monotonic_contour          -0.0112391348  0.0110476043  0.0086060208
No_of_max_ponits           -0.0491311249  0.0279337193  0.0138569945
No_of_min_points            0.0165055512 -0.0248442675 -0.0120830284
diameter                   -0.1046717035 -0.2104133430  0.2783089057
area                        0.0838793937  0.1858549059 -0.1420020290
perimeter                   0.0160525770 -0.0023344519  0.1286370262
physiological_length        0.0711170517  0.0276378888 -0.1154513827
physiological_width         0.0267024223  0.1829368897 -0.1206357702
aspect_ratio               -0.0635503931  0.1409300023 -0.0108210767
rectangularity             -0.0284401544 -0.0709383681  0.0260750107
circularity                 0.2343829668  0.3258686555  0.2460636497
compactness                 0.1640268240  0.2211059148  0.3423459263
NF                         -0.0619133332  0.1748782691 -0.0914466946
Perimeter_ratio_diameter    0.0669975016  0.1159384686 -0.1168821526
Perimeter_ratio_length      0.0663055866  0.2758137170 -0.1905109085
Perimeter_ratio_lw         -0.0217717379 -0.1137822139  0.1990995966
No_of_Convex_points        -0.0504809822 -0.0666549187 -0.0339206583
perimeter_convexity         0.0439234666  0.1958831198  0.2371853532
area_convexity              0.0174300210  0.0895285388  0.0503721933
area_ratio_convexity        0.0605515325 -0.0248333210  0.1157781554
equivalent_diameter         0.0598561322  0.1062001883 -0.1250522331
cx                         -0.0170764373  0.0087898439  0.0022107781
cy                         -0.0011771438 -0.0545869568 -0.0300643715
eccentriciry                0.0048833009  0.0912940823 -0.0821391859
contrast                    0.0331209403  0.1142213607 -0.0132010082
correlation_texture         0.0072746715  0.0770337107  0.0449193670
inverse_difference_moments -0.0301758395 -0.2222129127 -0.3702944218
entropy                    -0.1713733150 -0.3580643406 -0.3333726319
Mean_R_val                  0.0227057172  0.0286616627  0.0251357287
Mean_G_val                  0.0489616035  0.1108162109 -0.0946661200
Mean_B_val                  0.0081816213 -0.0303007473 -0.0271633335
Std_R_val                   0.0074443207  0.0060343258 -0.0071284752
Std_G_val                   0.0185676654  0.0508598598 -0.0399551988
Std_B_val                  -0.0051437122 -0.0128030813 -0.0027744384
correlation                 0.0041524737 -0.0057889489  0.0014322215
                                   PC40          PC41          PC42
Skewed_polar                0.003741668 -0.0007673634 -1.389097e-03
Clumpy_polar                0.004568412  0.0006521388  3.971861e-03
Sparse_polar                0.285217606  0.0528825207 -4.119736e-02
Striated_polar             -0.022306958  0.0161045437 -2.156065e-02
Convex_polar               -0.544499269 -0.0445023978  1.722818e-02
Skinny_polar               -0.004360707 -0.0054008466 -2.129755e-03
Stringy_polar              -0.086565608  0.0092947697 -4.548350e-03
Monotonic_polar             0.048701055  0.0075418021 -1.262232e-02
Skewed_contour              0.013509473  0.0018177759  5.420802e-04
Clumpy_contour             -0.003117134 -0.0004591117  4.484353e-04
Sparse_contour             -0.175535588 -0.0826427469  6.796452e-02
Striated_contour            0.080470500 -0.0154148495  2.515480e-02
Convex_contour              0.394660113  0.0723230727 -3.630343e-02
Skinny_contour             -0.001897148  0.0021141873 -1.802205e-03
Stringy_contour            -0.008760861  0.0082312524 -1.232601e-02
Monotonic_contour           0.000961877 -0.0005208566 -3.068134e-05
No_of_max_ponits            0.017929943 -0.0012930805 -2.513159e-03
No_of_min_points            0.032581335 -0.0088646441  1.186318e-02
diameter                    0.281369374  0.1252368538 -4.624694e-02
area                       -0.192693437 -0.0554804261 -2.060382e-01
perimeter                   0.108304341 -0.1338861695  1.744180e-01
physiological_length       -0.087435037 -0.0527510953  1.340626e-01
physiological_width        -0.150644022 -0.1108363771  1.483784e-02
aspect_ratio               -0.052592552 -0.0117364724  5.131672e-02
rectangularity              0.084677349 -0.0652247132  8.095630e-02
circularity                -0.077679364  0.2258871792 -2.150982e-01
compactness                 0.118528979  0.0746057191 -1.091584e-01
NF                         -0.063847978 -0.2687032265  1.292226e-01
Perimeter_ratio_diameter   -0.063603964 -0.3383228542  4.133009e-01
Perimeter_ratio_length     -0.320596203  0.1516172505 -1.870612e-01
Perimeter_ratio_lw          0.163974997  0.1085919628 -4.283313e-02
No_of_Convex_points         0.006393725 -0.0185971436  1.635034e-02
perimeter_convexity         0.136529221 -0.3341776773  4.043295e-01
area_convexity             -0.028703782  0.0074455607 -1.307609e-01
area_ratio_convexity        0.033494964  0.0557813725 -7.531875e-02
equivalent_diameter        -0.171058032  0.0319987055 -4.680813e-02
cx                          0.008945839 -0.0146439995 -2.053411e-03
cy                          0.019791933  0.0497768424 -1.586112e-02
eccentriciry               -0.082581189 -0.0659559312  7.563899e-02
contrast                   -0.102784818  0.5058901958  4.619587e-01
correlation_texture        -0.064264302  0.4805161648  4.174425e-01
inverse_difference_moments -0.060927051  0.1179338993  3.302406e-02
entropy                     0.060471066  0.1052168664  2.661624e-02
Mean_R_val                  0.019483562 -0.0047167973  1.739675e-02
Mean_G_val                 -0.096134534  0.0388381807  2.800677e-02
Mean_B_val                 -0.014060261 -0.0291373406 -2.457672e-02
Std_R_val                  -0.016046625 -0.0251085305 -5.251013e-02
Std_G_val                  -0.035172252 -0.0973792934 -1.301252e-01
Std_B_val                   0.017359767 -0.0242913880 -9.729495e-04
correlation                 0.004056048 -0.0041689872  3.798510e-03
                                    PC43          PC44          PC45
Skewed_polar               -1.396660e-03 -0.0012678421 -0.0007365353
Clumpy_polar                2.709097e-03 -0.0017444640  0.0001864113
Sparse_polar               -8.106967e-03 -0.0027292377  0.0094402552
Striated_polar              3.896874e-03  0.0155543922  0.0103315469
Convex_polar                2.739012e-03  0.0111500643 -0.0022769965
Skinny_polar               -1.531039e-03 -0.0014099629  0.0015644356
Stringy_polar               8.360687e-03 -0.0084092958  0.0064566953
Monotonic_polar            -3.043888e-03 -0.0027986145  0.0086906396
Skewed_contour              2.310555e-03 -0.0039148435  0.0006254689
Clumpy_contour             -5.071737e-03 -0.0005409513  0.0006693067
Sparse_contour              2.062064e-02  0.0130753217 -0.0059124493
Striated_contour           -1.929069e-02 -0.0054779354 -0.0107023099
Convex_contour             -2.363767e-02 -0.0090073339 -0.0001702820
Skinny_contour              2.809847e-03  0.0034947213  0.0019903229
Stringy_contour            -8.031151e-03 -0.0029728403  0.0003516366
Monotonic_contour          -4.987166e-04  0.0092620757  0.0010543140
No_of_max_ponits            4.309250e-03 -0.0136481683  0.0057964938
No_of_min_points           -2.343401e-03  0.0035002635 -0.0067465146
diameter                   -7.185510e-03  0.0029708159 -0.0014444842
area                        6.721734e-01 -0.0986447633  0.0554982230
perimeter                   2.334557e-01  0.2193118002 -0.3413197757
physiological_length       -3.309456e-01  0.0636663229 -0.0514515294
physiological_width         1.253045e-01  0.2715880543  0.0294287567
aspect_ratio               -3.037535e-01 -0.0860355364 -0.1112921819
rectangularity             -5.915713e-02  0.2368972163  0.0192813142
circularity                -1.419880e-01  0.2404049431 -0.2994910102
compactness                 2.768337e-02  0.0611935259  0.1804342703
NF                          8.206461e-02  0.3432874504  0.0741459162
Perimeter_ratio_diameter   -1.916922e-01  0.0040176820  0.1165438917
Perimeter_ratio_length     -1.898174e-01 -0.3659093284 -0.1566083090
Perimeter_ratio_lw          1.385717e-01 -0.3701430434 -0.0037607617
No_of_Convex_points         3.365446e-05 -0.0175214176 -0.0108799806
perimeter_convexity         1.433757e-01 -0.4722313922  0.0506126899
area_convexity             -7.404166e-02  0.1845509798  0.5269734769
area_ratio_convexity       -3.738267e-02  0.0535464968  0.5847585822
equivalent_diameter        -1.498975e-01 -0.2855861512  0.2558088900
cx                          2.984258e-03 -0.0005559956  0.0024417044
cy                         -3.660859e-02  0.0215128249 -0.0014668830
eccentriciry               -3.192184e-02  0.0117507234  0.0101526583
contrast                    1.350513e-01  0.0526572701  0.0605198155
correlation_texture         5.793576e-02  0.0406006842  0.0587398494
inverse_difference_moments  1.811139e-01  0.0169483245  0.0285427173
entropy                    -3.317208e-02 -0.0186152497  0.0335301986
Mean_R_val                  7.209657e-02  0.0016523004  0.0050990027
Mean_G_val                  1.897028e-01  0.0300531574  0.0220846079
Mean_B_val                 -2.144709e-02  0.0033484808 -0.0128070852
Std_R_val                  -1.307364e-02 -0.0195405616 -0.0004250824
Std_G_val                   4.146328e-02 -0.0262616407  0.0028490774
Std_B_val                  -4.687283e-03 -0.0006103528 -0.0103699513
correlation                 2.379418e-03 -0.0052288004 -0.0011323324
                                    PC46          PC47          PC48
Skewed_polar               -5.159274e-05 -1.872312e-03 -5.848360e-04
Clumpy_polar                7.412840e-04 -2.077408e-05 -7.320067e-04
Sparse_polar                6.159986e-03 -3.217236e-03 -7.736716e-03
Striated_polar             -9.380882e-03  6.755191e-03  8.287490e-03
Convex_polar               -2.151809e-02  1.349967e-03  1.787105e-02
Skinny_polar               -2.332659e-04 -2.849364e-07  1.040832e-03
Stringy_polar               9.191249e-04 -5.261000e-03 -3.999034e-03
Monotonic_polar             4.273615e-03  4.528036e-04 -3.756800e-03
Skewed_contour              3.308608e-03  1.539717e-03 -1.057686e-03
Clumpy_contour             -1.753740e-03 -4.539288e-06  2.910126e-05
Sparse_contour             -3.584288e-04 -6.189032e-03  5.477060e-03
Striated_contour            1.303526e-02 -1.063767e-02 -1.013852e-02
Convex_contour              1.314630e-02 -1.179099e-03 -1.551048e-02
Skinny_contour              1.532913e-03 -1.316560e-03 -1.591619e-03
Stringy_contour            -1.992696e-03  3.790114e-03  1.378205e-03
Monotonic_contour          -1.353263e-03  1.346366e-03 -2.327379e-03
No_of_max_ponits            5.968951e-04  4.615351e-03  1.327976e-03
No_of_min_points           -3.276630e-03 -1.260346e-03 -3.320312e-03
diameter                   -1.222813e-01 -1.147637e-01  2.072360e-02
area                       -4.232088e-01  6.221881e-02 -1.440968e-01
perimeter                   4.294856e-01  8.421257e-02 -4.340638e-01
physiological_length       -2.651793e-01  3.629361e-01 -2.292181e-02
physiological_width         4.145431e-01  2.335789e-01  4.447530e-01
aspect_ratio               -2.948757e-01  1.286411e-01 -2.617268e-01
rectangularity             -3.218045e-02  2.619202e-01  1.675853e-01
circularity                -2.228832e-02 -2.707664e-01 -1.590975e-01
compactness                -2.136619e-01  1.293697e-01  4.568654e-01
NF                         -5.503153e-02 -4.119668e-01 -4.003100e-02
Perimeter_ratio_diameter   -2.513839e-01 -2.348623e-01 -5.146634e-02
Perimeter_ratio_length      2.156012e-01  2.384047e-01 -9.834008e-02
Perimeter_ratio_lw          3.420752e-02 -1.240891e-01 -4.730630e-02
No_of_Convex_points         3.027171e-03  1.538839e-03  6.033267e-03
perimeter_convexity         1.355900e-01  1.690847e-01  8.533911e-03
area_convexity              1.236199e-01  1.084427e-01 -3.308587e-01
area_ratio_convexity        1.190617e-01  1.673436e-01 -3.276412e-01
equivalent_diameter         2.812311e-01 -4.973289e-01  1.641393e-01
cx                          3.142211e-03  2.508189e-04 -4.488085e-04
cy                         -8.840340e-03 -9.908579e-03 -7.220710e-03
eccentriciry               -1.575132e-02  5.204553e-03 -9.034710e-03
contrast                   -1.930550e-02 -4.685097e-03 -1.112831e-03
correlation_texture        -1.842617e-03 -1.112881e-02  2.537852e-03
inverse_difference_moments -3.325791e-02  1.922199e-02  1.038020e-03
entropy                     1.965360e-02 -7.622964e-03  1.334244e-02
Mean_R_val                 -1.160891e-02  6.934940e-03 -1.656307e-03
Mean_G_val                 -3.193006e-02  2.221844e-02 -1.415921e-02
Mean_B_val                 -1.065715e-03 -2.593300e-03  7.256571e-04
Std_R_val                   1.870553e-04  8.778037e-05  2.384095e-03
Std_G_val                  -4.229867e-03  6.298124e-03 -1.919716e-03
Std_B_val                  -1.539455e-04 -2.546231e-03  1.685310e-03
correlation                 8.417685e-04  9.162411e-04  1.447299e-04
                                    PC49          PC50
Skewed_polar               -0.0005610037 -3.308883e-04
Clumpy_polar               -0.0001158060  9.649584e-04
Sparse_polar                0.0045584381  1.085117e-03
Striated_polar             -0.0004131506  2.767189e-03
Convex_polar               -0.0086569371 -1.122111e-03
Skinny_polar               -0.0010042984  3.044813e-06
Stringy_polar              -0.0005587420 -2.556179e-03
Monotonic_polar             0.0015010616 -3.481967e-04
Skewed_contour             -0.0005648913  4.404715e-04
Clumpy_contour             -0.0014687726 -3.485666e-04
Sparse_contour              0.0008172425 -2.738701e-03
Striated_contour            0.0018395345 -1.509272e-03
Convex_contour              0.0050797399  1.745571e-04
Skinny_contour             -0.0001598583 -7.164672e-05
Stringy_contour            -0.0001730964  1.040626e-04
Monotonic_contour          -0.0002874105 -1.238084e-03
No_of_max_ponits            0.0053167058 -1.785236e-03
No_of_min_points           -0.0069245122  2.493956e-03
diameter                    0.2572477514  4.219466e-01
area                       -0.0031462266  5.099814e-02
perimeter                  -0.3320186627  3.173318e-02
physiological_length        0.0188139711 -4.078340e-01
physiological_width         0.4172571684 -8.834830e-02
aspect_ratio               -0.1645970592 -1.580616e-01
rectangularity             -0.0750951150  3.416267e-02
circularity                 0.2614223539 -3.566318e-02
compactness                -0.3748643930  3.095487e-02
NF                         -0.0038871101 -2.638253e-01
Perimeter_ratio_diameter    0.3014998274  3.562545e-01
Perimeter_ratio_length      0.1039486465  3.032021e-01
Perimeter_ratio_lw          0.3994212604 -5.661226e-01
No_of_Convex_points        -0.0030362772 -9.622905e-04
perimeter_convexity         0.0280469256  1.673601e-03
area_convexity              0.0690497782 -1.204073e-03
area_ratio_convexity        0.0770353010  2.221926e-03
equivalent_diameter        -0.3659604421 -8.220510e-02
cx                         -0.0001529008 -5.616971e-04
cy                         -0.0076199233  1.108273e-03
eccentriciry               -0.0134064684 -5.274269e-03
contrast                   -0.0094728956 -3.171295e-03
correlation_texture        -0.0126621597 -2.826347e-03
inverse_difference_moments  0.0028555890  2.029197e-04
entropy                    -0.0086624856 -3.155915e-03
Mean_R_val                 -0.0008143989 -1.379998e-03
Mean_G_val                  0.0044325390 -2.684176e-03
Mean_B_val                 -0.0040580225  3.754719e-03
Std_R_val                   0.0027641302  5.602028e-04
Std_G_val                  -0.0022132429 -5.883699e-05
Std_B_val                  -0.0025841849  1.889341e-03
correlation                -0.0016389108  2.576562e-04

$pca_components
            PC1          PC2           PC3           PC4           PC5
1   -3.91942558  0.389499409   0.852453279  -0.451517062 -1.5769758882
2   -3.40741889  0.278429086   0.841713916  -0.862971641 -0.9923122313
3   -2.57927459  0.575112079  -0.090083707  -2.007924239  0.8367559239
4   -4.02295782 -1.105172308   0.648565791  -0.681918564  0.9191969461
5   -4.07981229 -1.020475663   0.937311496   0.811121498  1.4645232435
6   -3.53228361 -0.314605110   0.539743605   0.178038328 -0.2043425491
7   -2.72423239  0.960437366   0.490846257  -1.375204406  0.0857728705
8   -2.84398955 -0.204030938   0.261288486   0.917824353  0.1397042778
9   -2.65373958 -0.425971578  -0.389940634  -1.967723550  0.1745483431
10  -1.98926459  0.215405738   0.487889234   0.746481310  0.0011452523
11  -2.85635419 -0.563854487   0.148096473  -0.195219156 -0.1107770174
12  -4.13568350 -0.503838464   0.801005965   0.531632467  2.9391491254
13  -4.36994545 -0.162442322   1.352122388   0.621462190 -0.3414709587
14  -3.40612016 -0.001858209   0.714201268  -0.188181691  2.3902161230
15  -3.44079432 -0.282329357   0.195601283  -0.073286631  0.3235234150
16  -3.02029758  0.065368144   0.552523716   0.361925347  1.3000479004
17  -3.38265170  1.114673305   0.793236032  -0.573486471 -0.2305978837
18  -2.65845227  0.792343453   0.568670592   0.291889268  0.3781686173
19  -2.72953940  0.415191821   0.264497491  -0.867990369 -0.6413820512
20  -2.80478425  0.775935078   0.405488275  -0.360762366 -0.4586017770
21  -2.36394166  0.995290235   0.245116662  -1.146991449  1.7431515755
22  -3.14757680  0.149071081   0.654125328  -0.691400391  0.7452760544
23  -2.82338840  1.080640273   0.397246833  -0.768134018  1.1853932228
24  -3.12941616  0.262009114   0.439084195   0.546829219  0.4946335501
25  -3.88483224 -0.805584372  -0.035325853  -0.137124762  0.3192538999
26  -3.45189111 -0.629055158   0.535250402  -0.507868535  0.1168424951
27  -3.01187173  0.286317126   0.830477687  -0.724490124  2.0462092611
28  -3.10977216 -0.378637348   0.156398192   0.883114810  0.1562213699
29  -2.73917178  0.730101778   1.050072654  -1.330443426  0.7323408904
30  -3.60223004  0.398121908   1.224155619   1.059831456  0.5812498179
31  -3.42483586 -0.406107687   1.063661442   0.548932470 -0.2766761534
32  -2.70901571  0.270245963   1.039901776   0.876084803 -0.2495580832
33  -2.47609124  0.945376643   0.871197172  -0.019483074 -0.0670950135
34  -2.10322692  1.159639118   0.854577766  -0.353016753 -0.0323711259
35  -2.12868330  2.357831834  -0.049318816  -1.799737986 -0.8977994147
36  -2.93871641  1.029523305   1.531235486  -1.260117223  0.8986645972
37  -2.69447504  0.707470456   1.280019962  -1.403365193  0.5433816841
38  -2.70611505  0.495510043   0.560069751  -0.113791246 -0.2071183953
39  -4.80201898 -1.362786910   1.546094760   2.208342186  0.2222571190
40  -2.15796626  0.206098500   0.773704478  -1.036208310  2.5928890090
41  -2.26755615 -0.112937129   0.694696473   0.904115121  0.7441796416
42  -3.27609408 -0.561657876   0.099502306  -0.275689317  0.6920881180
43  -2.98750992  0.621535013   1.133046727   0.274046325 -0.4247716834
44  -4.05360513 -0.606553482   1.309309469   0.862232596  0.2075024877
45  -2.75005606  0.412932059   0.725771158  -0.622085975  0.7730528087
46  -2.68776992  1.054313344   0.923167049  -1.746807480  0.2664629556
47  -2.49562584  0.779846854   0.437951501  -0.403293850  0.6594668814
48  -1.35753027  0.910044543  -0.048864111  -0.789631132  0.3735496547
49  -3.10761974 -0.393208176   0.763181590   0.740569496  0.9321543188
50  -2.56321298  0.290530679   0.767987475  -0.309245671  0.9800310662
51  -3.22449445 -0.612344885   0.778714678   0.110310561  0.5882111500
52  -1.49392066  0.581596328   0.252050712   0.115546932 -0.3663390941
53  -2.60943785  0.106627037   0.427714275  -1.542655352  1.5249989286
54  -2.47502386  0.947888604   0.407242451   0.174540516  0.4492992275
55  -1.69670673  0.647914719   0.986621245  -1.654164867  0.1565816682
56  -2.20880683  0.031631334   0.563685320   0.677574980  0.9313185829
57  -3.66057956 -0.282947907   0.846549658   0.511711873 -0.3107370255
58  -3.02358240  0.268454764   1.272288234  -0.176708476 -0.2832160494
59  -2.65612771 -0.006565513   0.264510651   0.613385184 -0.1578568064
60  -3.09489712 -1.289597016   0.141233438   0.510656938  0.3798367680
61  -4.36374010 -0.707024616   0.532504068  -0.716480077  5.1619523624
62  -4.70123099 -1.010280957   1.477739076   1.679905231  0.0121598726
63  -4.61457540 -1.166149246   1.313912663   1.214794715  1.2524277877
64  -4.35389043 -1.064293633   0.868703811   1.220404760  0.6956102167
65  -3.97370126 -0.945124345   1.246079626   1.117010666  0.8265108352
66  -3.94945078 -1.169511471   0.927610380   2.620210384  7.8643234268
67  -3.14031974 -0.399951319   0.438528593   0.702948500  1.2337789944
68  -4.81194811 -0.991119246   1.157602321   0.572552018  0.1845085767
69  -3.13617347 -0.167383201   0.925553659   0.432775430  0.4024864657
70  -2.48047682 -0.301482576   0.488968444  -0.193889302  1.8441415655
71  -4.19001306 -1.926707615   1.100107861   0.613829005  2.1528379103
72  -3.17621033 -0.557699574   0.364871855   0.106777438  0.2454035194
73  -3.78338835 -0.880861453   1.156255092   0.233076633  1.3431106238
74  -2.63290192 -0.412500596   0.669793696   0.419433134  0.7850679987
75  -2.60362890  0.112903323   0.749677549  -0.911782166 -0.0277113744
76   0.81131412  3.111737796  -1.058075945   0.773432172 -0.2404729196
77  -0.65285948  1.633195266  -0.301607521   2.668379289  0.5398173974
78  -1.12789584  1.235995424   0.572188766   1.653781917  0.3383540983
79  -1.75677643  0.970521638   0.967775248   1.932289633 -0.0192649680
80  -0.18336335  1.360091799  -1.049459982   1.860379380  0.6840363382
81  -0.14612628  3.104712630  -0.463778069   1.249551427  1.6935136739
82  -1.63197347  0.523370227   1.305623345   0.873548718  0.8527457839
83  -0.91248662  2.160607881  -0.212385017   2.072408709  0.0554188216
84  -0.61377640  1.419660130  -0.521824056   2.468102546 -0.1942259990
85   1.13835961  3.878136862  -1.675013861   2.028047190 -0.3643792509
86  -0.52339713  2.063511828  -0.744139515   2.313021766  2.5990278212
87   0.03162141  2.180973070  -0.432177600   1.792474022 -0.1655325099
88  -1.30258259  1.697257272   0.713375903   1.324934501  4.4550861191
89  -1.76747123  0.943997956   0.905563201   1.708990817 -0.0298514030
90  -0.05568958  3.593853334  -0.659159636   0.859552289 -0.2759393163
91  -0.17205720  2.193540938   0.287418115   0.786005941  0.0166342447
92  -1.34822504  1.501702940   0.668874848   1.340558222  1.0036284521
93  -0.14267473  2.054943577  -0.712604799   2.108332044 -0.0821248084
94  -0.96181271  1.930708410   0.091231943   2.592111441 -0.4407173981
95   0.07578257  2.406712173  -0.823565900   2.870713605 -0.6830568588
96  -0.80527050  0.797888257   0.166841630   2.560005398  0.3966657434
97  -0.32054654  2.450723456  -0.739267697   2.524475992  0.4327565638
98  -0.23618367  2.311574919  -0.219570463   2.795332851  0.1343205750
99  -0.32766965  3.217949422  -0.226761948   2.367543143  0.5540406160
100  0.37774527  2.758982183  -0.967838425   1.974247210 -0.5833335676
101 -0.70423787  2.379740947   0.846181914   1.187327203 -0.2462721976
102 -0.87511355  1.463213740  -0.391503991   2.668915641 -0.3315392160
103 -0.15232898  2.148645703  -0.178029311   2.248380254  0.0654714536
104  1.39325244  3.975808426  -1.289381146   1.859082591 -0.4267940393
105 -1.23326581  0.403526560   1.720951166   2.270611552  0.2469783780
106  0.38713515  1.919364877   0.699671437   1.057008197 -0.5387081127
107  0.05666064  1.655273951   0.540349618   2.155603895 -0.2737674781
108 -0.55811037 -0.070149604   0.190032688   1.676442815  0.5795210685
109 -0.91666471  1.499624833   0.926463722   1.026739476 -0.1445967944
110 -1.00212874  0.788097218   0.746708245   1.940828105  0.6996986413
111 -0.05436472  2.064542184  -0.128083974   1.790905676 -0.0391254976
112  0.41404195  2.392260734  -0.705323303   1.655590534 -0.4267082733
113 -1.04494746  3.439685128  -0.150294625   0.545049847 -0.5474403559
114 -0.53719835  1.817187284  -0.087599173   2.402453228 -0.7685962603
115 -0.64314383  0.870540443   0.259510206   1.765486960  1.8128750864
116 -1.52689213  2.499395361   0.203772886   0.259162719 -0.4397266491
117  0.22916745  3.336011639  -0.102956682   0.558102072  0.8768274217
118  0.09249332  2.936586495   0.048171039   2.594948493 -0.6180763500
119 -2.25264151  0.151407134  -0.112888858   5.267549742  6.7646025517
120 -0.60177928  1.251359622   0.687137453   1.362508138  0.0772725705
121 -2.24234418 -0.356461124   0.434418302   3.996154451  8.5249344692
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965 -0.56867134  1.752061884   0.803052653  -2.627836961  1.0784750869
966  2.21341416  3.240901964  -0.203937993  -1.503242321  0.2018171483
967 -1.34152486  1.141354799   0.756131059  -3.285944203  0.7048333120
968 -0.25060684  2.157318897  -0.806601871  -1.436948543  2.6111137037
969 -1.53079499  0.673364491   0.721068382  -3.774647022  2.8623957483
970  1.05366167  2.688675732  -0.955875001  -4.266915229 -0.6692438488
971 -0.15492820  1.603308616   0.541432708  -3.597842177 -0.7861226420
972 -0.48834627  1.969959396   0.693242755  -4.005064208  0.7517553648
973  2.63001736  1.086803199   3.173808225  -5.359046157 -0.6681017639
974  1.39091927  4.589596125  -1.212461223  -2.948171228  0.4975832423
975 -0.23037965  2.360450056  -0.408384623  -4.536238459  2.7871710300
             PC6          PC7           PC8
1    1.691989905 -0.127387176  0.3955823920
2    0.422459814 -1.021813962  0.5488543166
3    1.923709634  0.184009206  0.8279789953
4    1.291562329  1.101967364  0.3938378230
5    2.100738651  0.540239097 -0.0973816640
6    2.912587371  0.114411298 -0.4552644160
7    3.563889072  0.952422305 -0.2948607953
8    0.749083275  0.254622749 -0.6186389033
9    1.946956028  0.998368286 -0.6262860125
10   1.755398395 -0.199006842 -0.8664241915
11   2.675379728  0.722552063 -0.7791125952
12   1.991803708 -0.059529634 -1.0040530430
13   1.906946585 -0.021020179 -1.9362027706
14   1.395342459 -0.670243986 -1.4087787859
15   1.723413529  0.479292078 -0.0150864455
16   2.467572565  0.177736021  0.2524326417
17   1.931209718 -0.559040203  0.0648245970
18   1.483304104  0.505870662 -0.5541537975
19   1.201486376 -0.196177344  0.2810856048
20   1.650888974  0.040896116 -0.5017978133
21   2.088464476  0.940032486 -0.5931015724
22   2.446664025  0.950790612 -0.1425028999
23   3.269226109 -0.180404430 -1.0290772453
24  -0.314162809  2.166948206  0.6547314279
25   1.445629879 -0.034086143 -0.5085270500
26   1.469387670  1.244292722  0.0471086099
27   2.428615894  0.285992656 -1.0322771438
28   1.100968817  0.459718111 -0.5936064074
29   2.591702606  0.314514847 -0.3469995752
30   1.463733172 -0.421010800 -0.0912248352
31   1.186541125 -0.296658485  0.1196576883
32   1.043443483 -0.627549272 -0.0320766771
33   2.376173627 -0.016613709 -0.1614942955
34   1.445623674 -0.224478686 -0.2838161782
35   3.158520457 -0.968470037 -1.3988887874
36   3.984173306 -0.383137927 -0.5887650249
37   2.175447238 -0.358837846 -0.7726248424
38   1.330373647 -0.560863048 -1.4227168383
39   0.772654885 -0.801473002 -1.0731272156
40   1.979950745  0.393492753 -0.7032768752
41   0.083980165 -1.098036779  1.2327998202
42   1.406109467  1.409746304  0.1161276645
43   3.296394347 -0.726300596 -2.0309380786
44   0.639694425 -0.822072836 -0.6727517512
45   1.524229978  0.566471168  0.0249292653
46   1.433184858 -0.176246998 -0.9007435352
47   2.421113949  0.108187742 -0.2748776191
48   1.996854645  0.735631879 -0.1212444412
49   2.061257012 -0.224208789 -0.9874618594
50   1.098756410  0.834271377 -0.2584028946
51   1.816035094 -0.434622076 -0.2489721102
52   0.171944885  0.286560464 -0.1193531643
53   2.152202882  0.480540071  1.2327647981
54   0.813137979 -0.309438692 -0.1228450657
55   3.016082830  0.144299547  0.8517146304
56   0.656426569 -0.078251653  0.4435590164
57   0.293062324  0.985063616 -0.6217636586
58   1.964529251 -1.140626420 -1.2522141424
59   1.302143632  0.473291467 -0.5319220112
60   1.420243070  0.565861113  0.8954073666
61   1.980603559  1.934814240 -0.0506334784
62   2.116097377 -1.025588384 -1.1357713015
63   2.086856311  0.113079255 -1.3206865431
64   1.378336204 -0.073966244 -0.5889512041
65   1.823404307 -0.351003087 -0.2967427570
66   1.486644646  0.827141047 -0.2574625423
67   2.065081956  0.469437458 -0.3137204305
68   0.832885118  0.144695817 -0.7043589914
69   1.389900251 -0.290186347 -0.1494936258
70   1.732217266 -0.001203903  0.2180248317
71   2.097136123  0.616778546  0.1263850825
72   1.186427665  0.350170062  0.5119343979
73   1.719079959 -0.109704872  0.1311406075
74   1.064107121 -0.331338012  0.7292812132
75   1.989544496  0.294534660 -0.1768684463
76   1.175150527  0.530211359 -0.0814454479
77   1.251738442  0.026276390 -0.3020445254
78   1.163966963 -0.588725889  0.1962042438
79  -0.108262619  0.049032743 -0.4153672015
80   0.007932632  0.898401216  0.0690010428
81   1.299913391 -0.617850501 -0.3747779870
82   1.267114274 -0.590875433  0.2171687859
83   1.302196245  0.250842754 -0.0434821729
84   0.446103032 -0.675166557  0.9460596169
85   1.126913481  0.448710645 -0.0206842194
86   1.219120619 -0.065429348  0.3847522958
87   0.436006584  0.574050205 -0.3933472860
88   1.329311775 -0.966317968  0.7993723169
89   1.072754999 -0.124273866 -0.0340762269
90   1.018726186  0.526341448 -0.6635621789
91   0.818748684 -0.602619679  0.1366382153
92   1.236779662 -0.327730995 -0.2697362894
93   1.232990189  0.219189571 -0.1502550609
94   1.486466918 -0.655370533 -0.6225663428
95   0.212642740  0.418653877 -0.3436495112
96   0.982265419 -0.114332452 -0.0159641224
97   0.534044109 -0.191567946 -0.2549657917
98   0.688355083 -0.369813819 -0.2516458490
99   1.333707596 -0.403198626 -0.8877635636
100  0.848749626  0.411033318  0.0143403028
101  1.179998509 -0.673158691 -0.8704608389
102  0.183551545  0.344466377 -0.0294159919
103  1.229662074 -0.648632432 -0.8114216545
104  0.003441579  0.178506726 -0.7601557584
105  1.394131288 -0.758996455 -0.1587837421
106  0.980634456  0.374096428  0.0499679845
107  1.158708774 -0.650941529  0.4269762814
108  0.165405984  0.324671849 -0.5784312262
109  1.442285986  0.408386651  0.0244703846
110  1.972166211 -0.156201164  0.2848794214
111  0.828220414 -0.798334693 -0.1175293715
112  0.232413761  0.169297147 -0.7588815626
113  1.818140038 -0.250972364 -1.6106429979
114  1.004711742  0.629026824  0.1335498880
115  0.106139244  0.337998515 -0.6316261067
116  3.170722910 -0.708880850 -1.0742958156
117  1.580836438 -0.963466244 -0.3161350743
118  1.146667785  0.080131059  0.0628191861
119  0.120894036 -0.424478856  0.1895000372
120  1.166945036 -0.239657089 -0.8107940309
121 -0.525904481  0.046960598 -0.3080068959
122  2.019763515 -0.769254240 -0.7433216456
123  0.273524807 -0.126901565  0.1881784961
124 -0.391132715  1.300574774 -0.4887652684
125  1.397782564 -0.161302489  0.4787396824
126  0.878976368  0.433119373  0.0600862218
127  0.875326902  0.271993448 -0.0852368164
128  1.077458941 -0.471883214  0.1279782695
129  1.236541462  0.082610585  0.8365804924
130  1.638113942  0.459619481  0.5009373555
131  1.495054922 -0.086446233  0.2926611850
132  1.097303772 -0.033434002  0.5420311421
133  0.816601201  0.003522606 -0.0291929740
134  0.542108795 -0.981809698  0.4208873947
135  0.483111774 -0.213510565 -0.4847320007
136  1.185928744  0.514916147  0.1969865132
137  1.310087354  0.499390851  0.1477748673
138  2.757591817  0.407104343  1.0706647850
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140  0.854630409  0.197276838 -0.1090458631
141  2.081356889 -1.585165732  1.4803579722
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151  0.087904117  0.918650553  0.2729320176
152 -0.101318709 -0.053898598 -0.7502087602
153 -0.666674011  0.379766893 -0.2469467459
154  1.347688305 -0.364012165 -0.9826501111
155 -1.481327592  0.910301922 -0.6947335100
156  1.256524960  0.430344751 -0.0885041935
157  0.968303701  0.362923718 -0.8946408113
158  0.472425712  0.854133476 -0.3486788269
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160  0.631421922  0.406549611 -0.4857658580
161  4.383929790 -1.639386422 -1.6530757568
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168  1.251587637 -0.816538802 -1.3083499289
169  0.109661041  0.414898660  0.5843719227
170  0.413372570 -0.027552083 -0.7239101707
171  1.166840196 -0.562133456 -0.7646775805
172 -0.407525577  1.098443230  0.2872058368
173  0.936161452 -0.212045475 -1.0982217666
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940 -0.005190398  0.141680591  0.1688797004
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950 -0.023786204  1.176405261  0.9078775646
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952 -1.710965132  1.235534381 -0.2092930932
953 -1.880298867 -0.607340540 -1.3875237466
954  0.075210219 -0.823360840 -2.9101766358
955 -0.720549720  0.844104966 -0.5315223493
956  0.401201052  0.049619667  0.9827520730
957 -2.000643683 -1.381392894 -1.2949223750
958 -2.518839127 -1.252709066  0.9773379262
959 -1.586260936 -0.076772356  0.2732482881
960 -0.144864624  1.959944759  0.4456105961
961 -0.850936683  0.813280075  0.4011908848
962 -1.226144821  1.460994835  0.3918100958
963 -1.496760808 -1.622143400 -4.3816153211
964 -0.525038218  0.742128464 -0.3308271497
965 -1.715107901 -0.261113976  0.0147831870
966 -0.632951954  0.976423251 -0.0064096958
967  2.099342502  0.341700558 -0.0511649584
968 -1.062211192  1.134050400  0.0291035163
969  0.381652282  0.869461129 -0.3663418479
970 -1.195723399  0.864511438 -0.2332888209
971  0.554278918 -0.116862174 -0.7925632472
972 -1.919135162 -1.162867777 -2.2318897540
973 -0.228157580  1.777639517  1.2505990087
974  1.987411696 -0.160450445 -0.2211071341
975  1.497173586  1.515993485  0.0797633992

p11 <- ggplot(data_new, aes(x=PC1, y=PC2, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA1 Vs PCA2 by Actual Species") + xlab("PCA1") + ylab("PCA2") + theme(aspect.ratio = 1) 

p11

p12 <- ggplot(data_new, aes(x=PC1, y=PC3, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA1 Vs PCA3 by Actual Species") + xlab("PCA1") + ylab("PCA3") + theme(aspect.ratio = 1) 

p12

p13 <- ggplot(data_new, aes(x=PC1, y=PC4, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA1 Vs PCA4 by Actual Species") + xlab("PCA1") + ylab("PCA4") + theme(aspect.ratio = 1) 

p13

p14 <- ggplot(data_new, aes(x=PC1, y=PC5, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA1 Vs PCA5 by Actual Species") + xlab("PCA1") + ylab("PCA5") + theme(aspect.ratio = 1) 

p14

p15 <- ggplot(data_new, aes(x=PC2, y=PC3, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA2 Vs PCA3 by Actual Species") + xlab("PCA2") + ylab("PCA3") + theme(aspect.ratio = 1) 

p15

p16 <- ggplot(data_new, aes(x=PC2, y=PC4, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA2 Vs PCA4 by Actual Species") + xlab("PCA2") + ylab("PCA4") + theme(aspect.ratio = 1) 

p16

p17 <- ggplot(data_new, aes(x=PC2, y=PC5, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA2 Vs PCA5 by Actual Species") + xlab("PCA2") + ylab("PCA5") + theme(aspect.ratio = 1) 

p17

p18 <- ggplot(data_new, aes(x=PC3, y=PC4, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA3 Vs PCA4 by Actual Species") + xlab("PCA3") + ylab("PCA4") + theme(aspect.ratio = 1) 

p18

p19 <- ggplot(data_new, aes(x=PC3, y=PC5, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a")) + ggtitle("PCA3 Vs PCA5 by Actual Species") + xlab("PCA3") + ylab("PCA5") + theme(aspect.ratio = 1) 

p19

p1h1 <- p11 + theme(legend.position = "none") + theme(plot.title = element_blank())

p2h1 <- p12 + theme(legend.position = "none") + theme(plot.title = element_blank())

p3h1 <- p13 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p4h1 <- p14 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p5h1 <- p15 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p6h1 <- p16 + theme(legend.position = "none") + theme(plot.title = element_blank())

p7h1 <- p17 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p8h1 <- p18 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p9h1 <- p19 + theme(plot.title = element_blank())

p1h1 + p2h1 + p3h1 + p4h1 + p5h1 + p6h1 + p7h1 + p8h1 + p9h1 + plot_annotation(
  title = 'PCA with Actual Species',
  tag_levels = 'A'
) & theme(plot.tag = element_text(size = 5))

LDA <- lda(Species~ diameter + area + perimeter + physiological_length + physiological_width + aspect_ratio + rectangularity + circularity + compactness + NF + Perimeter_ratio_diameter + Perimeter_ratio_length + Perimeter_ratio_lw + No_of_Convex_points + perimeter_convexity + area_convexity + area_ratio_convexity + equivalent_diameter + contrast + correlation_texture + inverse_difference_moments + entropy + cx + cy + eccentriciry + Mean_R_val + Mean_G_val + Mean_B_val + Std_R_val + Std_G_val + Std_B_val + correlation  + Skewed_polar + Clumpy_polar + Sparse_polar + Striated_polar + Convex_polar + Skinny_polar + Stringy_polar + Monotonic_polar +  Skewed_contour + Clumpy_contour + Sparse_contour + Striated_contour + Convex_contour + Skinny_contour + Stringy_contour + Monotonic_contour + No_of_max_ponits + No_of_min_points, data= data_new)


LDA.values <- predict(LDA)

lda_data_new <- data.frame(LDA1 = LDA.values$x[,1], LDA2 = LDA.values$x[,2], LDA3 = LDA.values$x[,3], LDA4 = LDA.values$x[,4], Species = data_new$Species)

lda_data_new %>% head(5)

      LDA1     LDA2       LDA3        LDA4       Species
1 4.666859 1.764829  1.1282173 -0.57833465 Salix sinerea
2 4.228839 2.143315 -0.8113846  0.57603416 Salix sinerea
3 3.721623 1.768063 -0.4239593  0.03249795 Salix sinerea
4 3.449199 3.269898  0.7725715  1.67632092 Salix sinerea
5 2.564135 3.674421  0.4132218  0.77657761 Salix sinerea

lda_data <- data.frame(x = LDA.values$x[,1], y = LDA.values$x[,2], col = data_new$Species)
scagnostic_lda <- bind_cols(data_new, lda_data)


## LDA data
LDA

Call:
lda(Species ~ diameter + area + perimeter + physiological_length + 
    physiological_width + aspect_ratio + rectangularity + circularity + 
    compactness + NF + Perimeter_ratio_diameter + Perimeter_ratio_length + 
    Perimeter_ratio_lw + No_of_Convex_points + perimeter_convexity + 
    area_convexity + area_ratio_convexity + equivalent_diameter + 
    contrast + correlation_texture + inverse_difference_moments + 
    entropy + cx + cy + eccentriciry + Mean_R_val + Mean_G_val + 
    Mean_B_val + Std_R_val + Std_G_val + Std_B_val + correlation + 
    Skewed_polar + Clumpy_polar + Sparse_polar + Striated_polar + 
    Convex_polar + Skinny_polar + Stringy_polar + Monotonic_polar + 
    Skewed_contour + Clumpy_contour + Sparse_contour + Striated_contour + 
    Convex_contour + Skinny_contour + Stringy_contour + Monotonic_contour + 
    No_of_max_ponits + No_of_min_points, data = data_new)

Prior probabilities of groups:
              Acer       Alnus incana   Betula pubescens    Fagus silvatica 
        0.07692308         0.07692308         0.07692308         0.07692308 
   Populus tremula            Quercus         Salix alba       Salix aurita 
        0.15384615         0.07692308         0.07692308         0.07692308 
     Salix sinerea              Tilia Ulmus carpinifolia       Ulmus glabra 
        0.07692308         0.07692308         0.07692308         0.07692308 

Group means:
                    diameter     area perimeter physiological_length
Acer               1138.2151 372372.9  3823.210            1117.7637
Alnus incana       1068.0814 454092.0  3110.040            1064.9600
Betula pubescens   1167.9400 610560.5  3361.894            1159.4133
Fagus silvatica    1152.4843 618569.5  3345.757            1149.8667
Populus tremula    1205.5273 527109.3  3281.255            1204.8867
Quercus            1178.1677 552667.0  5097.409            1164.7733
Salix alba          997.3062 423152.0  3160.388             930.7806
Salix aurita       1146.1917 710495.2  3677.827            1121.4667
Salix sinerea      1117.3361 654666.6  3451.097            1111.2400
Tilia              1118.3236 361928.0  2885.191            1118.4400
Ulmus carpinifolia 1186.8166 725993.6  3664.509            1178.0533
Ulmus glabra       1164.2672 713200.0  3627.820            1150.4800
                   physiological_width aspect_ratio rectangularity circularity
Acer                          544.6267    0.4909688      0.5991364   0.3350117
Alnus incana                  690.5467    0.6510173      0.6174979   0.5889036
Betula pubescens              758.4000    0.6556764      0.6950057   0.6784985
Fagus silvatica               814.7467    0.7095758      0.6605427   0.6939769
Populus tremula               639.3267    0.5310112      0.6869497   0.6150235
Quercus                       939.9200    0.8105949      0.5056604   0.2761266
Salix alba                    629.7532    0.6937132      0.7337580   0.5318027
Salix aurita                  942.7733    0.8432166      0.6714511   0.6600229
Salix sinerea                 858.3733    0.7737225      0.6849921   0.6893882
Tilia                         548.6133    0.4924076      0.5900174   0.5458934
Ulmus carpinifolia            913.4667    0.7775323      0.6741104   0.6789494
Ulmus glabra                  921.3333    0.8020650      0.6725727   0.6808565
                   compactness       NF Perimeter_ratio_diameter
Acer                  40.58150 2.136716                 3.309042
Alnus incana          21.38787 1.551642                 2.914368
Betula pubescens      18.58332 1.548584                 2.881426
Fagus silvatica       18.11830 1.415378                 2.905748
Populus tremula       20.55477 1.914558                 2.722198
Quercus               47.67341 1.254903                 4.323584
Salix alba            24.07071 1.654520                 3.184454
Salix aurita          19.11513 1.216464                 3.213417
Salix sinerea         18.27826 1.303066                 3.091042
Tilia                 23.09138 2.045371                 2.582905
Ulmus carpinifolia    18.55710 1.300917                 3.091175
Ulmus glabra          18.48615 1.264667                 3.117131
                   Perimeter_ratio_length Perimeter_ratio_lw
Acer                             7.034051           2.266041
Alnus incana                     4.513777           1.772012
Betula pubescens                 4.450667           1.753585
Fagus silvatica                  4.108600           1.703508
Populus tremula                  5.189984           1.779780
Quercus                          5.416896           2.417489
Salix alba                       5.174211           2.026757
Salix aurita                     3.902707           1.782011
Salix sinerea                    4.023523           1.752396
Tilia                            5.272004           1.730733
Ulmus carpinifolia               4.015538           1.752164
Ulmus glabra                     3.939365           1.750809
                   No_of_Convex_points perimeter_convexity area_convexity
Acer                          15.49333           0.7410003     0.30290254
Alnus incana                  46.42667           0.8523518     0.03355697
Betula pubescens              53.58667           0.8953050     0.03741798
Fagus silvatica               61.33333           0.8871056     0.01590935
Populus tremula               43.81333           0.8962676     0.05982509
Quercus                       41.78667           0.6295672     0.28988430
Salix alba                    59.74667           0.8216101     0.06450112
Salix aurita                  43.20000           0.8569518     0.04043045
Salix sinerea                 74.20000           0.8690359     0.01487558
Tilia                         31.14667           0.9012950     0.04733281
Ulmus carpinifolia            49.84000           0.8711828     0.03622026
Ulmus glabra                  44.13333           0.8719580     0.04129723
                   area_ratio_convexity equivalent_diameter contrast
Acer                          0.7727051            667.8450 25.81021
Alnus incana                  0.9676327            759.3170 91.67529
Betula pubescens              0.9642214            880.8044 71.24171
Fagus silvatica               0.9843491            887.1190 76.86174
Populus tremula               0.9440227            817.7885 47.11787
Quercus                       0.7777964            837.9073 50.51725
Salix alba                    0.9435560            731.6838 62.61532
Salix aurita                  0.9612459            950.1797 56.68624
Salix sinerea                 0.9853632            911.7762 57.66125
Tilia                         0.9549409            677.9708 39.66207
Ulmus carpinifolia            0.9651948            960.4003 51.80535
Ulmus glabra                  0.9604827            952.3421 81.86526
                   correlation_texture inverse_difference_moments  entropy
Acer                         0.9981068                  0.4830265 8.176521
Alnus incana                 0.9942687                  0.4241075 8.618168
Betula pubescens             0.9958094                  0.4063350 9.266961
Fagus silvatica              0.9959150                  0.4049046 9.221496
Populus tremula              0.9974104                  0.4507335 8.635036
Quercus                      0.9970832                  0.4322800 8.722536
Salix alba                   0.9959784                  0.4588214 7.989547
Salix aurita                 0.9966627                  0.3923954 9.423798
Salix sinerea                0.9969047                  0.4181280 9.005679
Tilia                        0.9972580                  0.4770698 8.162283
Ulmus carpinifolia           0.9968904                  0.3988073 9.410517
Ulmus glabra                 0.9955213                  0.3907920 9.430836
                         cx       cy eccentriciry Mean_R_val Mean_G_val
Acer               789.4299 420.6617    0.8794671  154.64910   199.4658
Alnus incana       772.3005 463.5880    0.7861411  142.28768   192.8694
Betula pubescens   798.1505 554.0199    0.7957060  118.48622   178.4597
Fagus silvatica    798.5909 513.7340    0.7389902  121.15098   173.9422
Populus tremula    795.5787 465.8516    0.8583195  122.20826   180.6114
Quercus            777.4242 513.4965    0.5763056  127.60201   183.5903
Salix alba         760.5629 595.9924    0.7212245  110.98161   200.1220
Salix aurita       802.9310 606.9774    0.6529217  109.53264   173.6428
Salix sinerea      805.1679 558.4538    0.6881816  109.06985   171.7898
Tilia              788.1423 428.5369    0.8752489  145.12180   200.9795
Ulmus carpinifolia 808.4227 614.3764    0.6942799   98.21441   171.6890
Ulmus glabra       806.7173 628.8444    0.6742408   98.33665   165.2986
                   Mean_B_val Std_R_val Std_G_val Std_B_val   correlation
Acer                 184.9597  114.1620  74.00598  85.54355 -0.0002480436
Alnus incana         173.6181  115.1842  82.36755  94.79823  0.0032801320
Betula pubescens     159.5088  116.5689  83.53471  93.47922 -0.0034645150
Fagus silvatica      165.8463  116.4583  90.70912  94.97359  0.0133782165
Populus tremula      168.6565  115.9847  89.82006  94.42707 -0.0137781451
Quercus              168.6006  118.5598  84.06193  93.58910 -0.0102366746
Salix alba           174.4433  117.5446  79.96787  97.98499  0.0555231488
Salix aurita         156.3170  118.6659  80.56916  91.58056 -0.0034192205
Salix sinerea        154.0950  113.9757  89.05127  98.18152 -0.0131008443
Tilia                190.6146  116.4921  79.41919  88.73835 -0.0360120115
Ulmus carpinifolia   149.8168  112.0730  81.26246  92.15879 -0.0169835353
Ulmus glabra         146.3377  108.2042  88.27603  93.42063 -0.0054693188
                   Skewed_polar Clumpy_polar Sparse_polar Striated_polar
Acer                  0.5268581   0.01709413   0.01904747      0.7700604
Alnus incana          0.5051129   0.01029154   0.01450227      0.9623774
Betula pubescens      0.5079134   0.01408878   0.01450610      0.9286865
Fagus silvatica       0.5157687   0.01205535   0.01447494      0.9362983
Populus tremula       0.5138024   0.01283387   0.01461673      0.9275003
Quercus               0.5157365   0.01482457   0.01882750      0.8927884
Salix alba            0.5215702   0.01383322   0.01449599      0.9344519
Salix aurita          0.5297387   0.01648918   0.02442131      0.7821537
Salix sinerea         0.5056009   0.01090616   0.01444529      0.9615591
Tilia                 0.5064896   0.01116285   0.01447718      0.9687159
Ulmus carpinifolia    0.5274530   0.01615111   0.01442809      0.8888622
Ulmus glabra          0.5149960   0.01645415   0.01545046      0.8664982
                   Convex_polar Skinny_polar Stringy_polar Monotonic_polar
Acer               0.0174762864    0.7862421     0.9252288      0.25580831
Alnus incana       0.0003944047    0.7137414     0.9975876      0.11426524
Betula pubescens   0.0013340081    0.7288123     0.9866108      0.16054552
Fagus silvatica    0.0008670915    0.7755256     0.9946025      0.05742972
Populus tremula    0.0014898368    0.7253768     0.9916923      0.19491853
Quercus            0.0121361779    0.7476729     0.9895257      0.11373683
Salix alba         0.0011260371    0.7683995     0.9911354      0.06876834
Salix aurita       0.0271820613    0.7520160     0.9754493      0.06339532
Salix sinerea      0.0005815468    0.6831344     0.9961276      0.18948875
Tilia              0.0002079216    0.6753561     0.9987881      0.09431068
Ulmus carpinifolia 0.0014723661    0.7995898     0.9863346      0.03880814
Ulmus glabra       0.0047158757    0.7960763     0.9757425      0.12336659
                   Skewed_contour Clumpy_contour Sparse_contour
Acer                    0.5349893     0.02623371     0.02401596
Alnus incana            0.4918685     0.01654637     0.01436652
Betula pubescens        0.5025090     0.01903191     0.01439413
Fagus silvatica         0.5013750     0.01885647     0.01427208
Populus tremula         0.5067618     0.01783231     0.01449446
Quercus                 0.5086254     0.01675188     0.01790850
Salix alba              0.4980226     0.01443782     0.01432044
Salix aurita            0.5300181     0.01948754     0.02205360
Salix sinerea           0.5083535     0.01759461     0.01441173
Tilia                   0.4866573     0.01659111     0.01429032
Ulmus carpinifolia      0.5125569     0.02007134     0.01425728
Ulmus glabra            0.5183248     0.02023495     0.01551222
                   Striated_contour Convex_contour Skinny_contour
Acer                      0.7691563   0.0120125973      0.7897172
Alnus incana              0.9655767   0.0003634307      0.6761297
Betula pubescens          0.9443370   0.0004932736      0.7443834
Fagus silvatica           0.9529805   0.0005373658      0.7339000
Populus tremula           0.9404065   0.0008207073      0.7330612
Quercus                   0.8972321   0.0078645641      0.7486351
Salix alba                0.9518579   0.0010200959      0.7280410
Salix aurita              0.7977253   0.0183395570      0.7724609
Salix sinerea             0.9641681   0.0006296478      0.6498551
Tilia                     0.9710207   0.0001892832      0.6853467
Ulmus carpinifolia        0.9194575   0.0010769928      0.7707854
Ulmus glabra              0.8969251   0.0023651815      0.7897060
                   Stringy_contour Monotonic_contour No_of_max_ponits
Acer                     0.9655335       0.014846821         6.666667
Alnus incana             0.9979968       0.009869074         2.386667
Betula pubescens         0.9970760       0.008422992         2.893333
Fagus silvatica          0.9975697       0.012685363         4.133333
Populus tremula          0.9948343       0.004378492         2.780000
Quercus                  0.9965323       0.008288906         3.906667
Salix alba               0.9911799       0.104457476         2.466667
Salix aurita             0.9914682       0.016325151         7.386667
Salix sinerea            0.9955815       0.002479402         1.840000
Tilia                    0.9993425       0.007139860         1.973333
Ulmus carpinifolia       0.9935893       0.021156131         5.200000
Ulmus glabra             0.9917527       0.010642741         5.680000
                   No_of_min_points
Acer                       7.066667
Alnus incana               3.026667
Betula pubescens           3.346667
Fagus silvatica            5.306667
Populus tremula            3.333333
Quercus                    4.666667
Salix alba                 3.400000
Salix aurita               8.213333
Salix sinerea              2.293333
Tilia                      2.946667
Ulmus carpinifolia         6.306667
Ulmus glabra               6.266667

Coefficients of linear discriminants:
                                     LD1           LD2           LD3
diameter                   -4.302882e-02 -1.890690e-02 -1.594432e-02
area                       -2.799940e-05  6.158614e-06  1.656203e-05
perimeter                   4.023586e-03 -3.897704e-04 -1.706989e-03
physiological_length        5.829471e-03  2.137743e-02 -1.555467e-02
physiological_width        -3.084227e-02  5.042923e-02 -1.909232e-02
aspect_ratio                1.734114e+01 -1.116689e+01  1.483113e+01
rectangularity              1.174977e+00  3.706561e+00 -2.906305e+01
circularity                -3.221257e+01  3.861075e+01  2.119365e+01
compactness                 8.291394e-01 -2.367109e-01 -1.082082e-01
NF                          1.207598e+00  1.987978e+01 -1.711607e+00
Perimeter_ratio_diameter   -1.011003e+01  6.759933e+00 -6.658774e+00
Perimeter_ratio_length     -1.972234e+00 -4.687361e+00  5.315656e+00
Perimeter_ratio_lw         -1.934546e+01 -7.166168e-02 -1.007333e+00
No_of_Convex_points         5.245857e-03  2.488075e-02 -4.277718e-02
perimeter_convexity         3.096457e+01 -8.945579e+01 -2.506131e+01
area_convexity              3.272732e+01 -1.519531e+01  2.497491e+01
area_ratio_convexity        9.581133e+01 -2.934547e+01  1.231339e+00
equivalent_diameter         9.315708e-02 -4.253567e-02  4.910843e-02
contrast                   -8.684664e-02 -2.691701e-02  5.177702e-02
correlation_texture        -1.851363e+03 -2.332837e+02  1.430456e+03
inverse_difference_moments -1.760456e+01 -1.870526e+00  3.196391e+01
entropy                     1.141832e-01  6.695267e-02  2.317057e+00
cx                         -2.575877e-03 -2.188882e-03  2.176112e-03
cy                          4.169405e-03 -4.054580e-03  9.713793e-03
eccentriciry                1.263053e+00  3.097205e+00  5.129717e+00
Mean_R_val                 -7.296754e-03  2.247240e-03 -2.936479e-03
Mean_G_val                 -2.061867e-02  1.663081e-03  2.622387e-02
Mean_B_val                 -4.700618e-03 -8.532321e-03 -9.224070e-03
Std_R_val                   2.499925e-02  1.099640e-03 -2.771784e-03
Std_G_val                   4.516279e-02 -2.220330e-02 -6.253905e-02
Std_B_val                  -1.028538e-02  1.062849e-02 -2.231432e-02
correlation                -2.765957e-01  2.595583e-01 -4.053967e-01
Skewed_polar                1.155280e+00 -3.226269e-01 -2.368167e+00
Clumpy_polar                8.753354e-01  9.268824e-01  2.034488e-01
Sparse_polar               -4.550675e+01  8.866338e+01 -1.158691e+02
Striated_polar             -2.367320e+00 -9.416485e-01 -3.687759e+00
Convex_polar                1.980682e+01 -3.088022e+01  2.125401e+01
Skinny_polar               -7.079384e-01 -2.926407e-02 -4.486224e-01
Stringy_polar               7.206891e+00  4.401294e+00 -1.399990e+00
Monotonic_polar            -1.087961e+00 -1.491576e+00  7.708748e-02
Skewed_contour             -4.884565e-01  2.084165e-01  1.876385e+00
Clumpy_contour              1.502427e+00  2.488819e+00  8.758330e+00
Sparse_contour             -2.787149e+01  5.207809e-01  2.401930e+01
Striated_contour           -3.050555e-01  1.364888e+00 -1.521847e+00
Convex_contour             -1.930045e+01  2.462311e+01 -4.483809e+01
Skinny_contour              5.457583e-01  5.720454e-01 -3.353210e-01
Stringy_contour             8.263995e-01 -7.468171e-01  5.164481e-01
Monotonic_contour          -9.647905e-01  1.537347e-01  5.622166e-01
No_of_max_ponits            2.448541e-02  5.046054e-02  5.008852e-02
No_of_min_points           -5.985629e-02  2.532750e-02  1.548683e-02
                                     LD4           LD5           LD6
diameter                    3.415333e-02 -2.897995e-03  9.157345e-03
area                       -4.605782e-06 -6.452513e-07 -2.569003e-06
perimeter                  -1.119390e-02  3.747384e-03 -2.820633e-03
physiological_length       -3.312115e-02 -4.845143e-02  1.622180e-02
physiological_width         3.548580e-02 -2.946393e-02  2.150823e-02
aspect_ratio               -2.791951e+01 -1.651151e+00  5.572451e+00
rectangularity              4.060407e+01 -3.968147e+01 -4.317796e+01
circularity                -6.381381e+01 -2.666401e+01  6.476505e+01
compactness                 4.100198e-01  2.637369e-01 -1.054641e+00
NF                         -1.194607e+01  2.184193e-02 -5.370736e+00
Perimeter_ratio_diameter   -1.272605e-01 -1.680654e+00 -2.603120e+00
Perimeter_ratio_length      3.286909e+00  1.892004e+00  5.966616e+00
Perimeter_ratio_lw         -3.121908e+00 -1.743683e+01  3.323633e+01
No_of_Convex_points         5.596845e-02 -9.741868e-02  2.235308e-02
perimeter_convexity         4.074188e+01  2.262311e+01 -6.244875e+01
area_convexity              1.669446e+01  3.328801e+01  5.582700e+01
area_ratio_convexity        5.826212e+01  7.460705e+01  5.294834e+01
equivalent_diameter         1.575262e-02  7.232698e-02 -4.589630e-02
contrast                   -1.487657e-02  3.038709e-02 -1.576734e-02
correlation_texture        -6.098050e-01 -8.296573e+00 -1.097365e+03
inverse_difference_moments  1.798086e+01 -1.448338e+01 -3.203850e+01
entropy                     1.041412e+00 -4.134574e-02 -1.924924e+00
cx                         -3.466520e-03  1.138187e-03 -5.323086e-04
cy                          1.791343e-02  2.538089e-03 -6.239639e-03
eccentriciry               -9.931266e+00 -1.440225e+00  4.536671e-01
Mean_R_val                 -8.718041e-03 -2.585270e-03  1.239435e-02
Mean_G_val                  9.515253e-03  1.202227e-02 -1.984197e-02
Mean_B_val                  2.642450e-03 -1.759007e-02  3.325208e-04
Std_R_val                   1.551392e-02 -6.766764e-03 -1.005476e-02
Std_G_val                  -7.257903e-03 -8.170284e-02  4.343341e-02
Std_B_val                  -9.176332e-04 -3.516049e-02  1.255218e-02
correlation                -3.494245e-01 -1.922540e-01  6.630882e-01
Skewed_polar                6.511144e-01 -1.647519e+00 -7.478471e-01
Clumpy_polar                6.207233e+00  3.853470e-01 -1.181425e+00
Sparse_polar               -4.150653e+01  1.608890e+01 -9.166983e+01
Striated_polar             -3.848473e+00  9.002870e-01  5.773457e-01
Convex_polar               -2.337536e+00  6.282536e+00  2.148612e+01
Skinny_polar                1.726678e-01  3.334697e-01  5.216368e-01
Stringy_polar              -1.364283e+00  2.788563e+00 -7.148850e+00
Monotonic_polar            -2.163393e+00 -3.101072e+00  1.293592e+00
Skewed_contour             -4.505121e-01 -4.085715e+00  1.889236e-02
Clumpy_contour             -7.408888e+00  2.429281e+00  1.893629e+00
Sparse_contour              5.392516e+01  3.692176e+01  5.724551e+01
Striated_contour            3.618581e+00 -9.349951e-01  2.255208e+00
Convex_contour             -5.118949e-01  2.494957e+00 -4.133727e+01
Skinny_contour              6.920884e-01  5.045568e-01  2.426048e-01
Stringy_contour            -4.239250e+00 -3.870539e+00 -9.562113e-01
Monotonic_contour           7.301527e+00 -1.526900e+00  1.810546e+00
No_of_max_ponits            3.767494e-02 -5.325794e-02  1.207502e-01
No_of_min_points           -6.581011e-02  5.327510e-02 -9.267619e-02
                                     LD7           LD8           LD9
diameter                   -8.575148e-02  6.070045e-02  2.900010e-02
area                        1.584686e-05  1.008419e-05 -2.396601e-05
perimeter                  -3.744774e-03  8.957583e-03  4.948672e-04
physiological_length        4.993008e-02 -7.102391e-02 -1.571657e-02
physiological_width         7.106586e-03 -5.194116e-02 -1.243224e-02
aspect_ratio                2.117756e+01  2.367783e+00 -9.732156e+00
rectangularity             -7.172112e+01  1.841946e+01 -5.699067e+00
circularity                -1.490275e+01 -2.021820e+01  1.315210e+01
compactness                -3.800088e-01  8.827814e-02 -1.520016e-01
NF                          1.347206e+01 -1.904265e+01 -3.591903e+00
Perimeter_ratio_diameter   -2.102647e+01  1.243575e+01  8.710656e+00
Perimeter_ratio_length     -3.618078e+00  8.411110e+00  4.181121e-01
Perimeter_ratio_lw          6.891600e+01 -7.530680e+01 -8.419580e+00
No_of_Convex_points         5.963178e-02  4.229048e-04  4.804656e-02
perimeter_convexity         1.863413e+01 -1.743803e+01 -1.072878e+01
area_convexity              8.885096e+01  3.742078e+01 -1.195906e+01
area_ratio_convexity        1.528799e+02  4.902478e+01 -1.941743e+01
equivalent_diameter         4.254433e-02  7.408280e-03  2.761513e-03
contrast                    9.202635e-02 -1.240018e-01 -8.907519e-02
correlation_texture         2.341839e+03 -1.929070e+03 -1.052088e+03
inverse_difference_moments  3.591771e+01 -1.347173e+01 -4.767873e+00
entropy                     1.776137e+00 -7.819252e-01  2.988575e+00
cx                          2.693289e-03 -1.024413e-03  6.717277e-05
cy                         -5.061240e-03 -3.868162e-03  3.367461e-04
eccentriciry               -2.391783e+00  5.129735e+00  2.143919e+00
Mean_R_val                  6.220005e-03 -4.568941e-04 -1.777559e-02
Mean_G_val                  2.878955e-02 -4.224516e-02 -3.133062e-02
Mean_B_val                  6.506413e-03 -9.055714e-03 -2.716452e-02
Std_R_val                  -3.760361e-02  5.803689e-02  1.798182e-02
Std_G_val                  -4.348654e-02  3.083109e-03 -1.479186e-01
Std_B_val                   1.760171e-02  1.061352e-02 -4.572542e-02
correlation                 1.856036e-02 -4.648643e-01 -6.086468e-01
Skewed_polar               -3.307942e-01 -2.841272e+00  2.690337e+00
Clumpy_polar               -5.201911e+00 -1.027364e+01  6.389305e+00
Sparse_polar               -5.485127e+01  2.903975e+02 -5.572865e+01
Striated_polar              1.609579e+00  3.989897e+00  3.138133e-01
Convex_polar                2.429568e+01 -4.382517e+01 -3.952390e+00
Skinny_polar               -1.077615e-01 -7.490613e-01  3.757995e-01
Stringy_polar               4.199593e-01  1.313981e+01 -1.280865e+01
Monotonic_polar             5.874599e-02  5.453665e+00 -1.548749e+00
Skewed_contour             -2.143485e+00  7.631103e-02 -9.652574e-01
Clumpy_contour              1.793146e+00 -5.541523e+00  4.867295e+00
Sparse_contour              7.099224e+01 -1.305083e+02 -2.745615e+00
Striated_contour            1.949671e+00 -5.367051e+00  3.137631e+00
Convex_contour             -2.501363e+01  9.130987e+01  8.862533e+00
Skinny_contour             -9.963801e-01 -7.442727e-01  9.767365e-01
Stringy_contour            -9.136011e+00  7.021062e-01 -2.120056e+00
Monotonic_contour          -1.895235e+00 -1.634769e+00 -4.196751e-01
No_of_max_ponits           -2.761930e-02 -8.897046e-03 -1.996464e-03
No_of_min_points            3.613080e-02 -1.175108e-01 -9.870076e-02
                                    LD10          LD11
diameter                   -4.023795e-02 -1.882427e-02
area                        3.045050e-05  4.921690e-05
perimeter                   1.165571e-02 -6.102964e-04
physiological_length       -1.176243e-02  6.438792e-02
physiological_width        -5.682229e-02 -1.395178e-02
aspect_ratio                2.114161e+01  3.470274e+01
rectangularity              2.287577e+01  2.876513e+01
circularity                -4.890093e+01  6.143455e+00
compactness                 7.249033e-01 -1.092024e-01
NF                          1.531149e+00 -3.047070e+00
Perimeter_ratio_diameter   -8.966869e+00 -4.870373e+00
Perimeter_ratio_length     -1.988220e+00 -1.593448e+00
Perimeter_ratio_lw         -4.625039e+01  4.685584e+00
No_of_Convex_points        -2.206149e-02 -1.996684e-02
perimeter_convexity        -1.256118e+01 -4.240453e+01
area_convexity             -7.181477e+00  5.510852e+00
area_ratio_convexity       -1.809918e+00  2.910550e+00
equivalent_diameter         4.641894e-02 -8.110546e-02
contrast                   -2.971849e-02 -1.540943e-01
correlation_texture        -6.605788e+02 -2.468253e+03
inverse_difference_moments  9.572418e+00 -1.492315e+01
entropy                    -6.904280e-01 -3.258989e+00
cx                          1.721999e-04 -4.248633e-04
cy                          6.897766e-03 -8.762899e-03
eccentriciry                3.130391e+00  2.578399e+00
Mean_R_val                  1.609145e-02  2.444684e-03
Mean_G_val                  2.491458e-02  4.291882e-02
Mean_B_val                  1.170079e-02  1.626934e-02
Std_R_val                  -5.547733e-02 -4.252128e-03
Std_G_val                   3.711828e-02  9.463885e-02
Std_B_val                   5.490223e-02  3.151433e-02
correlation                -1.277290e+00 -5.327944e-02
Skewed_polar               -5.075293e-01  5.176158e+00
Clumpy_polar                4.400086e+00 -5.896227e+00
Sparse_polar               -1.415566e+02 -1.126521e+02
Striated_polar             -3.456821e+00 -2.631516e+00
Convex_polar                1.211424e+01  2.237660e+01
Skinny_polar               -1.451704e+00  1.087794e+00
Stringy_polar              -1.823956e+00  3.076184e+00
Monotonic_polar             4.249815e+00 -4.006876e+00
Skewed_contour              6.920130e+00  7.890591e-01
Clumpy_contour             -4.478721e+00  5.748428e+00
Sparse_contour              1.009679e+01 -4.366132e+01
Striated_contour           -7.463415e-02 -3.225446e+00
Convex_contour             -4.328935e+01 -2.136606e+01
Skinny_contour             -6.850986e-01 -3.260771e-01
Stringy_contour            -9.892477e+00 -1.226620e+00
Monotonic_contour          -3.848707e+00  3.566879e+00
No_of_max_ponits            6.475662e-02 -1.309420e-01
No_of_min_points           -1.770158e-01  1.521988e-01

Proportion of trace:
   LD1    LD2    LD3    LD4    LD5    LD6    LD7    LD8    LD9   LD10   LD11 
0.3372 0.2242 0.1481 0.1191 0.0574 0.0526 0.0277 0.0134 0.0084 0.0068 0.0051 

p1 <- ggplot(scagnostic_lda, aes(x=x, y=y, color=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8")) + ggtitle("LDA1 Vs LDA2 by Actual Species") + xlab("LDA1") + ylab("LDA2") + theme(aspect.ratio = 1) 

p1b <- p1 + theme(legend.position = "none")

p1b

lda_data_1 <- data.frame(x = LDA.values$x[,1], y = LDA.values$x[,3], col = data_new$Species)
scagnostic_lda_1 <- bind_cols(data_new, lda_data_1)

p1_1 <- ggplot(scagnostic_lda_1, aes(x=x, y=y, color=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8")) + ggtitle("LDA1 Vs LDA3 by Actual Species") + xlab("LDA1") + ylab("LDA3") + theme(aspect.ratio = 1) 
p2b <- p1_1 + theme(legend.position = "none")

p2b

lda_data_2 <- data.frame(x = LDA.values$x[,2], y = LDA.values$x[,3], col = data_new$Species)
scagnostic_lda_2 <- bind_cols(data_new, lda_data_2)

p1_2 <- ggplot(scagnostic_lda_2, aes(x=x, y=y, color=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8")) + ggtitle("LDA2 Vs LDA3 by Actual Species") + xlab("LDA2") + ylab("LDA3") + theme(aspect.ratio = 1) 

p3b <- p1_2 + theme(legend.position = "none")

p3b

p1h <- p1b + theme(plot.title = element_blank())

p2h <- p2b + theme(plot.title = element_blank())

p3h <- p1_2 + theme(plot.title = element_blank())

p1h + p2h + p3h + plot_annotation(
  title = 'LDA with Actual species',
  tag_levels = 'A'
) & theme(plot.tag = element_text(size = 8))

Flavia Dataset

PCA projection

data_new1 <- read.csv("data_all_with_label_flavia_with_species.csv", header = TRUE)
features1 <- data_new1[, c(3:10,12:53)] # remove Outlying_polar and Outlying_contour
pca_ref_calc1 <- calculate_pca(features1)
# combine features and PCs' into a one dataframe
data_new1$PC1 <- pca_ref_calc1$pca_components$PC1
data_new1$PC2 <- pca_ref_calc1$pca_components$PC2
data_new1$PC3 <- pca_ref_calc1$pca_components$PC3
data_new1$PC4 <- pca_ref_calc1$pca_components$PC4
data_new1$PC5 <- pca_ref_calc1$pca_components$PC5
data_new1$PC6 <- pca_ref_calc1$pca_components$PC6
data_new1$PC7 <- pca_ref_calc1$pca_components$PC7
data_new1$PC8 <- pca_ref_calc1$pca_components$PC8

# PCA components
pca_summary(features1)

Importance of components:
                          PC1    PC2    PC3     PC4     PC5     PC6     PC7
Standard deviation     3.2225 2.7284 2.5887 2.17231 1.72240 1.51720 1.23534
Proportion of Variance 0.2077 0.1489 0.1340 0.09438 0.05933 0.04604 0.03052
Cumulative Proportion  0.2077 0.3566 0.4906 0.58498 0.64431 0.69035 0.72087
                           PC8     PC9    PC10    PC11    PC12    PC13    PC14
Standard deviation     1.16461 1.09872 1.04923 0.99874 0.97698 0.97264 0.95243
Proportion of Variance 0.02713 0.02414 0.02202 0.01995 0.01909 0.01892 0.01814
Cumulative Proportion  0.74800 0.77214 0.79416 0.81411 0.83320 0.85212 0.87026
                          PC15    PC16    PC17    PC18    PC19   PC20    PC21
Standard deviation     0.93673 0.89088 0.82441 0.78339 0.73865 0.6929 0.64940
Proportion of Variance 0.01755 0.01587 0.01359 0.01227 0.01091 0.0096 0.00843
Cumulative Proportion  0.88781 0.90369 0.91728 0.92955 0.94047 0.9501 0.95850
                          PC22    PC23    PC24    PC25    PC26    PC27    PC28
Standard deviation     0.60892 0.56289 0.46477 0.43128 0.42115 0.36291 0.32308
Proportion of Variance 0.00742 0.00634 0.00432 0.00372 0.00355 0.00263 0.00209
Cumulative Proportion  0.96592 0.97226 0.97658 0.98030 0.98384 0.98648 0.98856
                          PC29   PC30    PC31    PC32    PC33   PC34    PC35
Standard deviation     0.32239 0.2738 0.24999 0.23754 0.23059 0.2239 0.21316
Proportion of Variance 0.00208 0.0015 0.00125 0.00113 0.00106 0.0010 0.00091
Cumulative Proportion  0.99064 0.9921 0.99339 0.99452 0.99558 0.9966 0.99750
                          PC36    PC37    PC38    PC39    PC40    PC41    PC42
Standard deviation     0.17821 0.14240 0.13401 0.12009 0.10379 0.09224 0.08224
Proportion of Variance 0.00064 0.00041 0.00036 0.00029 0.00022 0.00017 0.00014
Cumulative Proportion  0.99813 0.99854 0.99890 0.99918 0.99940 0.99957 0.99970
                          PC43    PC44    PC45    PC46    PC47    PC48    PC49
Standard deviation     0.06906 0.06693 0.05408 0.03017 0.02875 0.02278 0.01778
Proportion of Variance 0.00010 0.00009 0.00006 0.00002 0.00002 0.00001 0.00001
Cumulative Proportion  0.99980 0.99989 0.99995 0.99997 0.99998 0.99999 1.00000
                           PC50
Standard deviation     0.004696
Proportion of Variance 0.000000
Cumulative Proportion  1.000000

# PCA table
pca_ref_calc1

$prcomp_out
Standard deviations (1, .., p=50):
 [1] 3.222491508 2.728391406 2.588741766 2.172305231 1.722403116 1.517204747
 [7] 1.235338376 1.164609807 1.098715659 1.049232715 0.998739109 0.976984824
[13] 0.972641581 0.952425834 0.936728546 0.890880189 0.824414636 0.783388190
[19] 0.738654726 0.692900871 0.649404613 0.608923468 0.562888932 0.464772054
[25] 0.431278785 0.421146794 0.362906366 0.323084367 0.322394541 0.273759116
[31] 0.249989607 0.237535915 0.230589723 0.223873728 0.213155064 0.178214985
[37] 0.142397476 0.134006178 0.120091742 0.103786012 0.092243037 0.082240820
[43] 0.069059970 0.066931191 0.054076019 0.030173445 0.028754367 0.022780902
[49] 0.017783055 0.004696486

Rotation (n x k) = (50 x 50):
                                    PC1           PC2           PC3
Skewed_polar                0.019346281 -0.0289447747 -0.1041978615
Clumpy_polar               -0.018797201 -0.0284285460 -0.0612040943
Sparse_polar                0.023922204 -0.1472083249 -0.2863784379
Striated_polar             -0.049175004  0.1403213339  0.3057826909
Convex_polar                0.043089436 -0.1596178258 -0.3151413015
Skinny_polar               -0.008766684 -0.0164467059 -0.0783899991
Stringy_polar              -0.046114354  0.1488345091  0.2821531068
Monotonic_polar             0.068703301  0.0601528759  0.0477937497
Skewed_contour              0.010751489 -0.0400346963 -0.0864573403
Clumpy_contour              0.019805698 -0.0161018649 -0.0404435786
Sparse_contour              0.024958636 -0.1571049094 -0.2905653199
Striated_contour           -0.043412223  0.1450297862  0.3138467608
Convex_contour              0.043346645  0.0149848718 -0.0522124167
Skinny_contour             -0.025177129  0.0008777163 -0.1256283891
Stringy_contour            -0.036423985  0.1524238401  0.2976155064
Monotonic_contour           0.047994802  0.0270367737  0.0808793555
No_of_max_ponits           -0.024371039 -0.1535268170 -0.2289364952
No_of_min_points           -0.022813090 -0.1602124206 -0.2187174892
diameter                   -0.033200966  0.1530941404 -0.0845152195
area                        0.280742968  0.0423700159  0.0001723381
perimeter                   0.119978624 -0.1613017054  0.0910635060
physiological_length       -0.052801443  0.1571073955 -0.0869870640
physiological_width         0.265193442 -0.1344307054  0.0921238960
aspect_ratio                0.218188906 -0.1829595991  0.1132818225
rectangularity             -0.028502161  0.2526988566 -0.1323983508
circularity                 0.239604166  0.1278734597 -0.0472942950
compactness                -0.224797472 -0.0748150632  0.0303610092
NF                         -0.235165417  0.0144837633 -0.0170254808
Perimeter_ratio_diameter    0.117632724 -0.2886650156  0.1602932711
Perimeter_ratio_length     -0.233755917  0.0025012529 -0.0106925769
Perimeter_ratio_lw         -0.132645571 -0.2601848340  0.1219924460
No_of_Convex_points         0.063514800  0.2017034142 -0.1081507330
perimeter_convexity        -0.035623831  0.3085232101 -0.1614114214
area_convexity             -0.036187656 -0.3051373388  0.1573912750
area_ratio_convexity        0.039587129  0.3081524860 -0.1586488051
equivalent_diameter         0.290155171  0.0376341225  0.0009326564
cx                         -0.025198176  0.0979907758 -0.0503513865
cy                          0.010125198  0.0490418270  0.0014481949
eccentriciry               -0.153372678  0.2163702081 -0.1324792070
contrast                    0.121846264  0.0674670853 -0.0338194658
correlation_texture        -0.020091591 -0.0127781453  0.0207368852
inverse_difference_moments -0.275359388 -0.0413690885  0.0089833105
entropy                     0.282769589  0.0480231729 -0.0064189780
Mean_R_val                  0.169790518  0.0613629806 -0.0038267383
Mean_G_val                  0.228933182  0.0593049676 -0.0014670419
Mean_B_val                  0.191341853  0.0594793234 -0.0034445690
Std_R_val                   0.161260020  0.0592313620 -0.0029574226
Std_G_val                   0.187022755 -0.0321632779  0.0170527395
Std_B_val                   0.210968980  0.0492216183 -0.0037278991
correlation                 0.032503722  0.0961703696  0.0283958115
                                    PC4           PC5          PC6          PC7
Skewed_polar                0.093895268 -0.0237883527  0.152297552 -0.221693262
Clumpy_polar               -0.012584927 -0.0219992025 -0.138878182  0.077737039
Sparse_polar                0.023589926 -0.0041438529  0.022113931 -0.011185046
Striated_polar             -0.067977757  0.0060460924 -0.153514306  0.039952010
Convex_polar                0.032184705  0.0275796928  0.117570262  0.024336713
Skinny_polar                0.051369877 -0.0002479785  0.047881005 -0.116614004
Stringy_polar              -0.072297364  0.0097828548 -0.162952189  0.006389460
Monotonic_polar            -0.091554418  0.1823099135  0.089033655  0.430472282
Skewed_contour             -0.047059162 -0.0589125357 -0.059879317  0.082863693
Clumpy_contour             -0.009429862  0.0028297163  0.001539326  0.065082889
Sparse_contour             -0.003600781  0.0156227953  0.035888367  0.011864392
Striated_contour            0.007184450  0.0229416336 -0.022380439 -0.030445374
Convex_contour              0.087610388  0.0963576674  0.366974938  0.106266414
Skinny_contour             -0.106929299  0.0431021687 -0.060193970  0.302891968
Stringy_contour            -0.012701712 -0.0262695239 -0.077880350  0.008068226
Monotonic_contour           0.253490856  0.0457625254  0.390923585 -0.125975704
No_of_max_ponits           -0.066497455 -0.0254055705 -0.254398695 -0.080966481
No_of_min_points           -0.109402959 -0.0372790484 -0.271221296 -0.046817780
diameter                   -0.282909832  0.2924870778 -0.013188535 -0.226565595
area                       -0.012198085  0.1509927422 -0.076823700 -0.122205010
perimeter                  -0.228379232  0.2812230719 -0.025129627 -0.217493222
physiological_length       -0.266155171  0.2991515447 -0.009761085 -0.221298633
physiological_width         0.052645224  0.0452553886 -0.021961063 -0.047242721
aspect_ratio                0.117661665 -0.0672800061 -0.010127244  0.023059659
rectangularity              0.101049177 -0.1054147694 -0.118035317 -0.014123881
circularity                 0.184231857 -0.0564741254 -0.060138615  0.063747364
compactness                -0.184453959 -0.0189389263  0.132660862 -0.113677737
NF                         -0.167768628 -0.0316097545  0.111839396 -0.125694916
Perimeter_ratio_diameter    0.048571828 -0.0232201876 -0.005294715  0.017938768
Perimeter_ratio_length     -0.168278000 -0.0320021568  0.112739679 -0.125857510
Perimeter_ratio_lw         -0.124227500  0.0135706476  0.010042763 -0.020893882
No_of_Convex_points         0.114227474  0.0195265975 -0.077165886 -0.013408762
perimeter_convexity         0.044504517 -0.0439207307 -0.008622131 -0.030357112
area_convexity             -0.085369793  0.0319782551  0.082065912 -0.019792667
area_ratio_convexity        0.089644064 -0.0311343704 -0.077037907  0.028965992
equivalent_diameter         0.010331770  0.1522757014 -0.087426635 -0.089662868
cx                          0.008074963  0.0744039530  0.112176779 -0.044213706
cy                         -0.038767404  0.0850766927  0.076096206 -0.284657583
eccentriciry               -0.095642470  0.0743473112 -0.000798456  0.021441462
contrast                   -0.186281213  0.1947847974  0.196302947  0.339245556
correlation_texture         0.264367556 -0.1816292688 -0.246665819 -0.300845998
inverse_difference_moments  0.064940214 -0.1857224537  0.018341368  0.005207532
entropy                    -0.058660299  0.1756135088 -0.010349617 -0.018118504
Mean_R_val                 -0.241536242 -0.3440021961  0.105274162 -0.033934496
Mean_G_val                 -0.204208862 -0.2418926528  0.040082191 -0.086006651
Mean_B_val                 -0.236226115 -0.3129077168  0.082178349 -0.051695869
Std_R_val                  -0.260187928 -0.3180278686  0.125308044 -0.028929438
Std_G_val                   0.057582970  0.1998014025 -0.171917185 -0.160896845
Std_B_val                  -0.247616695 -0.2128949943  0.074784988 -0.056299986
correlation                 0.229023650  0.0219654848  0.399143061 -0.218834662
                                    PC8          PC9         PC10          PC11
Skewed_polar                0.156676852 -0.182677447  0.060276810 -0.3002652893
Clumpy_polar                0.156839130  0.084724941  0.326433944 -0.1039558692
Sparse_polar               -0.086600568  0.155234672 -0.027724822  0.0294660988
Striated_polar             -0.051933548  0.026639576 -0.025876648 -0.0038081154
Convex_polar               -0.065110478  0.086540006 -0.050181877  0.0430006143
Skinny_polar                0.326896340 -0.208024896  0.229913898 -0.1158213458
Stringy_polar               0.042704911 -0.089100457  0.007209391 -0.0425847104
Monotonic_polar             0.111166613 -0.151223499  0.084548268  0.0582512245
Skewed_contour              0.045441522 -0.214830486  0.325198706 -0.3646312567
Clumpy_contour              0.082384429 -0.086559882  0.255431407  0.7734823940
Sparse_contour             -0.078975512  0.138807699 -0.108024371  0.0224613612
Striated_contour           -0.037062065 -0.012274785 -0.013642661 -0.0006086689
Convex_contour              0.178145468 -0.385529494 -0.083272059  0.0716845912
Skinny_contour              0.303715819 -0.252647192  0.146392558 -0.0046412720
Stringy_contour             0.053065492 -0.084584012  0.127121743 -0.0450253125
Monotonic_contour           0.122638783 -0.039393317 -0.038966798  0.0139626148
No_of_max_ponits           -0.002911121 -0.157600685  0.037710824 -0.0110582716
No_of_min_points           -0.018354618 -0.176137386  0.012432170 -0.0297668253
diameter                    0.116839899  0.056513302 -0.042058525  0.0178064234
area                       -0.082146938 -0.142735954 -0.032180882  0.0037105510
perimeter                   0.017242911 -0.021488445 -0.013194740  0.0346112886
physiological_length        0.123227629  0.074414842 -0.036413004  0.0321239952
physiological_width        -0.096633342 -0.122175997  0.032430788 -0.0081489730
aspect_ratio               -0.161496558 -0.129501973  0.051487673 -0.0191075303
rectangularity             -0.241384677 -0.157256764 -0.075648215  0.0022873304
circularity                -0.105967131 -0.113419213 -0.016158156 -0.0256693255
compactness                -0.203309161 -0.267650979 -0.038464007  0.0144178021
NF                         -0.230994838 -0.295458531 -0.058736711  0.0110043656
Perimeter_ratio_diameter   -0.100849755 -0.052274961  0.033032586  0.0140944289
Perimeter_ratio_length     -0.236316255 -0.300818319 -0.059461199  0.0115961774
Perimeter_ratio_lw         -0.005391386  0.024996962 -0.027650389  0.0270186454
No_of_Convex_points        -0.260037551 -0.043100755  0.121818892  0.0411326368
perimeter_convexity        -0.062107934 -0.071352591 -0.008133324 -0.0228038859
area_convexity              0.041985567  0.048098150  0.054197762  0.0023555030
area_ratio_convexity       -0.033222604 -0.015730271 -0.045813935  0.0017874124
equivalent_diameter        -0.019649940 -0.059564620 -0.020478522  0.0017417755
cx                         -0.186685679 -0.081413816  0.316465888  0.2574428836
cy                         -0.162462286  0.223764327  0.618009578 -0.0718107102
eccentriciry                0.242213701  0.134388150 -0.094477309 -0.0074763986
contrast                   -0.199343057  0.167911658  0.066255588 -0.1376503211
correlation_texture         0.197546563 -0.028822381  0.038336558  0.1553195452
inverse_difference_moments  0.102397572  0.062095969  0.007639008  0.0587617651
entropy                    -0.090625443 -0.066431423 -0.006613180 -0.0300568200
Mean_R_val                  0.044028666  0.038322264  0.014015350  0.0193265592
Mean_G_val                  0.055225885 -0.036881890 -0.041373882  0.0375198154
Mean_B_val                  0.059629066  0.008022889 -0.008539340  0.0267990492
Std_R_val                   0.042061869  0.061842753  0.019928234  0.0228318403
Std_G_val                   0.194833884 -0.103859073 -0.219354500  0.0786925640
Std_B_val                   0.104381893  0.018688546 -0.054394475  0.0377589424
correlation                 0.062641214  0.091502166  0.014646276 -0.0269336991
                                    PC12          PC13         PC14
Skewed_polar                0.3018686603 -0.0891911701 -0.241924404
Clumpy_polar               -0.1799787814  0.5535978924 -0.654670935
Sparse_polar               -0.0748157012  0.0898827062  0.057863949
Striated_polar              0.0496157244 -0.0387649698 -0.005558265
Convex_polar               -0.0435759342  0.0644347037  0.058969404
Skinny_polar                0.0757288172 -0.3519817997 -0.026537953
Stringy_polar               0.0589058366 -0.0792424939 -0.010855758
Monotonic_polar            -0.0932223767  0.1664558560  0.234849940
Skewed_contour              0.4321161119  0.0648537150  0.191858011
Clumpy_contour              0.5202573926  0.0498603246 -0.096203619
Sparse_contour              0.0589809908  0.0401016532  0.072504763
Striated_contour           -0.0671069711 -0.0509891790 -0.077149319
Convex_contour             -0.2391948978 -0.0763478149 -0.047212208
Skinny_contour             -0.2563902213  0.1105242904  0.292949069
Stringy_contour            -0.0560516921 -0.0441970594 -0.059538832
Monotonic_contour          -0.0308937003  0.0151949856 -0.055036783
No_of_max_ponits           -0.1219437615 -0.2349219111 -0.141346084
No_of_min_points           -0.0801467808 -0.2394073990 -0.101519651
diameter                    0.0116241445  0.0380980867  0.034526236
area                       -0.0083368706  0.0982102327  0.018348669
perimeter                  -0.0115209354  0.0028527222  0.013951777
physiological_length        0.0058738865  0.0203481411  0.023920133
physiological_width        -0.0242622481  0.0710395018  0.018944223
aspect_ratio               -0.0217315747  0.0489623845  0.016163106
rectangularity              0.0227628603  0.0008102091 -0.011443884
circularity                 0.0063059830  0.0674350048  0.005447483
compactness                 0.0061801836  0.1725281867 -0.001456258
NF                          0.0097506876  0.1859801483 -0.001214159
Perimeter_ratio_diameter   -0.0148529575 -0.0431011273 -0.012850215
Perimeter_ratio_length      0.0097752617  0.1861647456 -0.002492825
Perimeter_ratio_lw          0.0103588092 -0.1055615216 -0.027548827
No_of_Convex_points         0.0312806199 -0.1471694236 -0.006282506
perimeter_convexity        -0.0009655382  0.1024940880  0.035993280
area_convexity             -0.0137357835 -0.0191425192  0.020997021
area_ratio_convexity        0.0209650144 -0.0204880068 -0.023965130
equivalent_diameter        -0.0077986730  0.0469087707  0.012622730
cx                         -0.4021697165 -0.3370176345 -0.217601237
cy                         -0.1305584446  0.0599811706  0.331243224
eccentriciry                0.0295259294 -0.0466987470 -0.014060176
contrast                    0.1152949902 -0.2118328135 -0.193758684
correlation_texture        -0.1656954926  0.1253853631  0.238250784
inverse_difference_moments -0.0473900324 -0.0426693559  0.028033406
entropy                     0.0189105577  0.0398204421 -0.015062478
Mean_R_val                 -0.0349168256 -0.0126555093  0.016827393
Mean_G_val                 -0.0351563250  0.0351751014  0.006976215
Mean_B_val                 -0.0373517113  0.0059239690  0.011068536
Std_R_val                  -0.0356530835 -0.0404851104 -0.001291690
Std_G_val                   0.0003551670  0.0663810490 -0.074553503
Std_B_val                  -0.0284004413 -0.0311642195 -0.050713333
correlation                 0.0419801803  0.0885756300 -0.013051217
                                    PC15          PC16         PC17
Skewed_polar                0.1382689928 -0.5694614320  0.400710814
Clumpy_polar               -0.0643202784  0.0778729898 -0.076867910
Sparse_polar               -0.0706547099  0.0829231916  0.128116715
Striated_polar              0.0009850377 -0.0102435810  0.070276442
Convex_polar                0.0170187006  0.0562123491  0.038911008
Skinny_polar               -0.6513954093  0.4101280555  0.129466318
Stringy_polar               0.0036267151 -0.0912285126  0.041910991
Monotonic_polar             0.0131765492  0.0130619655  0.044900956
Skewed_contour              0.4926537424  0.4141031611 -0.130577716
Clumpy_contour             -0.0365457283 -0.1056880356 -0.052681164
Sparse_contour             -0.0061569363  0.0344257474  0.114980942
Striated_contour            0.0032100690  0.0259441391 -0.029418617
Convex_contour              0.0842109734 -0.1146303077 -0.447262566
Skinny_contour             -0.0340765715 -0.2718747410  0.306657965
Stringy_contour             0.0016137460 -0.0459832142 -0.059748795
Monotonic_contour           0.1032298340  0.0662872247 -0.210717281
No_of_max_ponits            0.0491799003 -0.1280147029 -0.275819623
No_of_min_points            0.0435090230 -0.1279238192 -0.275503343
diameter                    0.0575453490  0.0266638478 -0.015686281
area                       -0.0265861331  0.0246999013  0.028663043
perimeter                   0.0553991195  0.0319810763  0.012440866
physiological_length        0.0607523378  0.0300873720 -0.010940022
physiological_width        -0.0330291517  0.0077336699  0.039617665
aspect_ratio               -0.0572236286 -0.0084843606  0.039468081
rectangularity             -0.0658061594 -0.0005452453 -0.026858902
circularity                -0.0633167257 -0.0145228499  0.005716044
compactness                -0.0776512871  0.0346815196  0.042478053
NF                         -0.0963003986  0.0432809310  0.046697098
Perimeter_ratio_diameter   -0.0088406342 -0.0056016481  0.019574510
Perimeter_ratio_length     -0.0972924323  0.0437766267  0.047426669
Perimeter_ratio_lw          0.0480880477 -0.0008035382 -0.029678631
No_of_Convex_points        -0.0103878763 -0.0875835228 -0.090620537
perimeter_convexity        -0.0536420633  0.0037465406  0.006135400
area_convexity              0.0169136358 -0.0300642878 -0.010890816
area_ratio_convexity       -0.0024807579  0.0124964839 -0.006134021
equivalent_diameter        -0.0001435324  0.0181675757  0.017628424
cx                          0.3989873722  0.2500232689  0.415829399
cy                         -0.1600224837 -0.2708083275 -0.227399738
eccentriciry                0.0714007170  0.0031815753 -0.089637589
contrast                   -0.0894060611 -0.0516765302 -0.014447636
correlation_texture         0.1397239672  0.0302824224  0.047123653
inverse_difference_moments  0.0505603423  0.0077413052  0.018305850
entropy                    -0.0354700570  0.0023613310  0.004024566
Mean_R_val                  0.0093973203 -0.0064615568 -0.015957119
Mean_G_val                  0.0121043654  0.0230354918  0.004201442
Mean_B_val                  0.0094581994  0.0073541842 -0.006380071
Std_R_val                   0.0262495438 -0.0066290554 -0.012396352
Std_G_val                   0.0377913416  0.1066282987  0.064412385
Std_B_val                   0.0251442081  0.0272999380  0.008502244
correlation                 0.0377217249  0.0446667379  0.024689094
                                   PC18         PC19          PC20         PC21
Skewed_polar               -0.199604765 -0.078013768  1.749910e-01 -0.052979101
Clumpy_polar               -0.045397341 -0.115291417 -1.195163e-01  0.035299196
Sparse_polar                0.127012026 -0.079489871  4.028431e-01 -0.046461331
Striated_polar             -0.073491347  0.095546953 -2.303769e-01 -0.047818725
Convex_polar               -0.051205138 -0.032693396  8.969110e-02 -0.035881521
Skinny_polar               -0.085752509 -0.062602710 -1.292738e-02  0.020973677
Stringy_polar              -0.081790817  0.122446678 -3.442196e-01 -0.023162074
Monotonic_polar            -0.686034236 -0.011221938  1.302464e-01 -0.101362055
Skewed_contour              0.130905668 -0.031467354  7.294232e-03 -0.027312854
Clumpy_contour              0.075806795  0.062118754  4.301448e-02  0.046875594
Sparse_contour             -0.101443646  0.034001025 -3.852398e-01 -0.055745399
Striated_contour            0.135466196 -0.049982003  2.847650e-01 -0.022627922
Convex_contour              0.149250971 -0.210797171  4.197231e-02 -0.072326692
Skinny_contour              0.443624930 -0.011414351 -2.305318e-01  0.150927238
Stringy_contour             0.123318388 -0.021249488  3.366277e-01  0.017115568
Monotonic_contour          -0.193729082  0.172711156 -1.347587e-01  0.117333729
No_of_max_ponits           -0.076093130  0.259021851 -2.881813e-02  0.059205096
No_of_min_points           -0.101993974  0.226513808 -4.142887e-02  0.033708778
diameter                   -0.036076736 -0.039294022  1.706616e-02  0.122268277
area                       -0.001515547 -0.007778078  1.304299e-03  0.090323191
perimeter                  -0.023476765 -0.179100149 -1.924449e-02  0.194768637
physiological_length       -0.032471463 -0.070084660  7.620295e-03  0.056841556
physiological_width         0.013477369  0.080492030  5.135166e-05  0.037807585
aspect_ratio                0.010576111  0.082669555 -6.905671e-03  0.023850569
rectangularity             -0.029294912 -0.243110236 -8.247630e-04  0.269798068
circularity                -0.006723577  0.052244986 -1.460135e-02 -0.096889648
compactness                -0.006300979  0.028490518 -3.562747e-02 -0.112880136
NF                         -0.006484918  0.048900577 -6.778109e-03 -0.033394674
Perimeter_ratio_diameter   -0.001621878 -0.148642987 -4.152279e-02  0.050064022
Perimeter_ratio_length     -0.006937640  0.041390988 -8.681865e-03 -0.031617580
Perimeter_ratio_lw         -0.018608724 -0.321725621 -4.398569e-02  0.184952604
No_of_Convex_points        -0.049043508 -0.614958443 -2.846496e-01 -0.272209582
perimeter_convexity        -0.003390725  0.195620272  4.741989e-02 -0.044100488
area_convexity             -0.019248557 -0.095867325 -6.829097e-02 -0.119857552
area_ratio_convexity        0.007752030 -0.004168143  3.848603e-02  0.095910950
equivalent_diameter        -0.001219965 -0.006374245  3.838379e-03  0.085676700
cx                         -0.030876148  0.096771220 -7.553894e-03 -0.044177135
cy                          0.007006069  0.099261895  2.001814e-02 -0.217078473
eccentriciry               -0.018039596 -0.049714931 -1.072785e-02 -0.060998164
contrast                    0.076877761  0.050059264 -2.614422e-02  0.075900429
correlation_texture        -0.197087089 -0.143969983  1.502612e-02  0.218897428
inverse_difference_moments -0.042645238 -0.064165007 -2.925346e-02 -0.161087268
entropy                     0.022879922  0.021294463  1.136092e-02  0.148441042
Mean_R_val                 -0.052395229 -0.028836865 -5.602356e-03  0.029676148
Mean_G_val                 -0.021241450 -0.007468130 -4.307908e-03 -0.043748612
Mean_B_val                 -0.031719552 -0.003843432  5.942937e-04  0.004730232
Std_R_val                  -0.034400552 -0.074187437 -2.438699e-02  0.025675298
Std_G_val                   0.145394820  0.039829665 -2.301634e-02 -0.636372071
Std_B_val                   0.045373308 -0.017537994 -2.719970e-02 -0.183032465
correlation                 0.158993486  0.124807105 -2.754841e-01  0.149388666
                                   PC22         PC23         PC24         PC25
Skewed_polar                0.078072728  0.020504673 -0.045540731  0.018281961
Clumpy_polar                0.043295082  0.003781453 -0.047852564  0.005232693
Sparse_polar               -0.142780584 -0.185896861 -0.530459051  0.247337273
Striated_polar              0.112484614 -0.062864545 -0.309322859  0.101223049
Convex_polar               -0.001934022 -0.081356524 -0.105615908  0.049938830
Skinny_polar                0.029123092  0.031290154 -0.035069697  0.023527716
Stringy_polar               0.090933302  0.008155682 -0.338146487  0.295642636
Monotonic_polar            -0.058193824 -0.223567060  0.050105969  0.068058829
Skewed_contour              0.031570456 -0.024319395 -0.075457048  0.009193663
Clumpy_contour              0.001578337 -0.019131216 -0.047784355  0.020747846
Sparse_contour              0.247293279  0.065465754 -0.303842939  0.117185876
Striated_contour            0.026563377 -0.106412720 -0.368128457  0.010255661
Convex_contour              0.325916632  0.268097827 -0.120150368  0.210613072
Skinny_contour             -0.126536503 -0.149547566 -0.079301475 -0.167158827
Stringy_contour            -0.243328684 -0.133228370 -0.020433638  0.068978507
Monotonic_contour          -0.164188128 -0.211463055 -0.315414501 -0.428686844
No_of_max_ponits           -0.186278052 -0.214769117 -0.031697573  0.044439904
No_of_min_points           -0.129163968 -0.087523123 -0.037306528  0.013449612
diameter                   -0.035806861  0.105656604 -0.056112581 -0.076263063
area                       -0.057028166  0.032641737  0.011055857  0.103229846
perimeter                   0.035650761 -0.043163608 -0.025328446 -0.053094388
physiological_length       -0.051236978  0.088117894 -0.101860038 -0.143951846
physiological_width        -0.039452012  0.082327759 -0.005782333  0.002411178
aspect_ratio                0.017139108  0.051396291 -0.015739303 -0.052006738
rectangularity              0.300913537 -0.404277274  0.039200255  0.024477086
circularity                -0.106066843  0.049813915  0.048618145  0.215129951
compactness                -0.146563022  0.053884331  0.022933629  0.086940400
NF                         -0.014724546 -0.048731701  0.025911620 -0.034985342
Perimeter_ratio_diameter    0.068106334 -0.121654243  0.006447943 -0.036366761
Perimeter_ratio_length     -0.010866706 -0.059895719  0.029741982 -0.029520878
Perimeter_ratio_lw          0.166476068 -0.297048582  0.093993488  0.092566356
No_of_Convex_points        -0.429599470  0.049948107 -0.091419593 -0.121267340
perimeter_convexity        -0.065521865  0.199638952 -0.073993397 -0.031106724
area_convexity             -0.228462328  0.095725828  0.009727757  0.194442382
area_ratio_convexity        0.198299789 -0.113921805  0.029516141 -0.126081962
equivalent_diameter        -0.023531974  0.032885547  0.002664954  0.051691475
cx                          0.080118894  0.046950142  0.066537670  0.069313572
cy                          0.266805660 -0.117693122  0.041966289  0.018633117
eccentriciry               -0.098641089 -0.099045012  0.184162188  0.426564317
contrast                   -0.048881574 -0.069899211 -0.013160237 -0.103775423
correlation_texture        -0.045357624  0.115584606 -0.014632377  0.029487610
inverse_difference_moments  0.003334598 -0.032906869 -0.072976161 -0.141467001
entropy                    -0.012614567  0.033932876  0.029720586  0.096665116
Mean_R_val                 -0.015338622  0.007993990 -0.032292221  0.004952735
Mean_G_val                 -0.013110276 -0.021598288 -0.019972528  0.073516523
Mean_B_val                  0.001624995 -0.008974216 -0.028525179  0.027007779
Std_R_val                  -0.018432209 -0.014576616 -0.013267286 -0.052616594
Std_G_val                   0.142821730 -0.343083310  0.103939800 -0.126693995
Std_B_val                   0.039405581 -0.134629100  0.028249172 -0.103657513
correlation                -0.249042351 -0.344490308  0.159758332  0.332815970
                                   PC26         PC27         PC28          PC29
Skewed_polar                0.002943062  0.054439325 -0.008162423 -4.148277e-03
Clumpy_polar               -0.008190233  0.011285314  0.005114964 -1.121682e-02
Sparse_polar               -0.014970078 -0.213667231  0.208990873 -8.479384e-02
Striated_polar             -0.096975657  0.286879244 -0.035502159 -1.610241e-01
Convex_polar                0.006565050  0.017916853  0.045016563 -4.151169e-02
Skinny_polar               -0.001038529  0.041584342 -0.012433682  1.549713e-03
Stringy_polar               0.042242102 -0.460278955  0.335130789  6.651773e-03
Monotonic_polar            -0.194309235  0.036347478 -0.025167111 -1.224177e-02
Skewed_contour             -0.008356122  0.039287486  0.019882851  2.260861e-03
Clumpy_contour              0.011078012  0.022635017 -0.003823739  6.956520e-03
Sparse_contour             -0.036750047  0.050632471 -0.524697847  4.063165e-01
Striated_contour           -0.023276272  0.569222263 -0.080370039  3.237306e-02
Convex_contour             -0.141954120 -0.022194238  0.044491716  1.531227e-02
Skinny_contour              0.099091801  0.076087397 -0.030081986 -2.779667e-02
Stringy_contour            -0.074161679 -0.388427722 -0.489786072  3.821347e-01
Monotonic_contour           0.444742581 -0.081037015 -0.034417487  2.715520e-03
No_of_max_ponits           -0.145628131  0.218985568  0.053906464  4.215012e-02
No_of_min_points           -0.040162981 -0.067389279 -0.084937129 -6.279183e-02
diameter                   -0.085697354 -0.018744097 -0.008498979 -4.660183e-02
area                        0.122870732  0.044707279  0.007842430  3.432607e-02
perimeter                  -0.053891991 -0.056275459 -0.026451609 -6.266399e-02
physiological_length       -0.142392279 -0.012834658 -0.040523082 -5.055352e-02
physiological_width         0.002188125 -0.027985657  0.027994241  1.447572e-02
aspect_ratio               -0.072337338 -0.023501824  0.026383083 -3.756881e-03
rectangularity              0.127093760  0.026068549 -0.021409144 -1.431829e-02
circularity                 0.205932026  0.098434796 -0.025738887 -4.175931e-03
compactness                 0.072388079  0.068416981  0.009058979  4.557315e-02
NF                          0.027930445 -0.018355827  0.057957767  8.313326e-02
Perimeter_ratio_diameter   -0.044187685 -0.028767892 -0.024060532 -2.896293e-02
Perimeter_ratio_length      0.035484633 -0.018687463  0.058134116  8.309791e-02
Perimeter_ratio_lw          0.079819975 -0.025445390 -0.020584245 -3.349128e-02
No_of_Convex_points        -0.063705267 -0.015566671 -0.024145927 -5.480420e-02
perimeter_convexity        -0.108220674  0.064327355 -0.015171407 -1.490408e-02
area_convexity              0.142096348  0.148924327 -0.019347251  1.377983e-02
area_ratio_convexity       -0.141568657 -0.116540613 -0.017396432 -3.439257e-02
equivalent_diameter         0.066556530  0.018240271  0.004273705  4.337373e-03
cx                          0.080612674 -0.027258106 -0.026497481 -2.456288e-02
cy                          0.100333966  0.005842117  0.011465965 -4.657991e-05
eccentriciry                0.485372779  0.102519806  0.010383431  8.979714e-02
contrast                   -0.007619994  0.065047168  0.290951462  2.407544e-01
correlation_texture        -0.036040124  0.122521378  0.272392795  3.287566e-01
inverse_difference_moments -0.108958565 -0.017727502  0.079160883 -3.583885e-02
entropy                     0.079211692  0.057534976  0.035440080  1.329501e-01
Mean_R_val                 -0.004980996 -0.010111452 -0.060965851 -1.189805e-01
Mean_G_val                  0.093156829 -0.025344602 -0.188361947 -3.447693e-01
Mean_B_val                  0.017780776 -0.030503992 -0.118049248 -2.351421e-01
Std_R_val                  -0.052293942  0.067267408  0.168257271  3.469683e-01
Std_G_val                  -0.016076353 -0.027547078  0.049107598  4.229940e-02
Std_B_val                  -0.066536158  0.023413880  0.194915240  3.238483e-01
correlation                -0.467963032  0.050098329 -0.004089322 -6.383374e-02
                                    PC30          PC31         PC32
Skewed_polar               -0.0028990870  0.0337592934  0.009142531
Clumpy_polar               -0.0051228481  0.0107774352 -0.022689344
Sparse_polar               -0.0251468769  0.0284801966  0.150407101
Striated_polar             -0.0935671498  0.6314919355  0.086425934
Convex_polar               -0.1134231291  0.2799619624 -0.317466988
Skinny_polar               -0.0104386259  0.0289921903 -0.005792688
Stringy_polar              -0.0158432303 -0.2798351881 -0.085604503
Monotonic_polar            -0.0240504842 -0.0857780612  0.010319173
Skewed_contour              0.0164082368 -0.0029660819  0.003684765
Clumpy_contour              0.0027092961 -0.0001402817 -0.015407482
Sparse_contour              0.1163399751 -0.1232851738  0.059698932
Striated_contour           -0.0085119618 -0.2745386815 -0.095735769
Convex_contour              0.0492645906  0.0916391333  0.026175984
Skinny_contour             -0.0154447777  0.0037549301 -0.018594876
Stringy_contour             0.0857279419  0.1594527443 -0.049832777
Monotonic_contour          -0.0495785746  0.0158367844  0.015739712
No_of_max_ponits            0.0477751597 -0.2417544332  0.408705865
No_of_min_points           -0.0526571114  0.2476570739 -0.432464125
diameter                   -0.0295992452  0.0048359971 -0.095919202
area                        0.0622909824  0.0177369991 -0.017902074
perimeter                   0.0373502950  0.0381929438  0.020307910
physiological_length        0.1018075230 -0.0527129346  0.004794634
physiological_width         0.0114159470  0.1052709622  0.079441121
aspect_ratio               -0.0466605484  0.0762108181 -0.033083718
rectangularity              0.0174185610 -0.1450570892 -0.273026525
circularity                 0.1322652779 -0.0016289979 -0.015922783
compactness                 0.0122108919 -0.0282069945 -0.089319656
NF                          0.0721716488  0.0892252822  0.134760484
Perimeter_ratio_diameter    0.0705806214  0.0130520530  0.079927290
Perimeter_ratio_length      0.0825933988  0.0944937639  0.145567634
Perimeter_ratio_lw         -0.0721126564 -0.0267090353 -0.098363894
No_of_Convex_points        -0.0828897554  0.0100522624  0.079411153
perimeter_convexity        -0.0763345948 -0.1444218861 -0.372596958
area_convexity              0.0192165245 -0.1323084198 -0.274566427
area_ratio_convexity       -0.0023180196  0.1242246142  0.205386051
equivalent_diameter         0.0605239588  0.0450190780  0.030252994
cx                         -0.0272435458 -0.0119725984 -0.004941393
cy                          0.0147395051  0.0147776776  0.011940037
eccentriciry               -0.0003916395  0.1829984342  0.160281706
contrast                    0.5580886782  0.1042291665 -0.135197171
correlation_texture         0.3353470539  0.1276294184 -0.072286323
inverse_difference_moments  0.3410849587  0.0682196360 -0.049036310
entropy                    -0.1546947714 -0.0205963670  0.030826945
Mean_R_val                  0.1322377975 -0.0251497968 -0.001095262
Mean_G_val                  0.2918959243 -0.0299156257  0.022975284
Mean_B_val                  0.1595842231 -0.0444690806 -0.002031331
Std_R_val                  -0.2787265975  0.0455482320  0.024252264
Std_G_val                   0.1394357713 -0.0241941898 -0.102047844
Std_B_val                  -0.2812608658  0.0233099385 -0.051364425
correlation                 0.0099744677 -0.0052945040 -0.064717593
                                   PC33         PC34          PC35         PC36
Skewed_polar                0.009450325  0.003317245  0.0040332360 -0.012823614
Clumpy_polar               -0.015037292  0.006040371 -0.0034285119  0.002765867
Sparse_polar                0.187049376  0.269321210 -0.0032757760 -0.025952564
Striated_polar              0.323258180 -0.052767264  0.0727237232 -0.037282192
Convex_polar               -0.294589222 -0.708651346  0.0326201961  0.045104254
Skinny_polar               -0.005437793 -0.021624858  0.0015832394 -0.002122269
Stringy_polar              -0.189518557 -0.176737902 -0.0290997481  0.030254420
Monotonic_polar            -0.024688227  0.082077773 -0.0099313907 -0.014060114
Skewed_contour              0.009640911 -0.004045505 -0.0003866393  0.003534919
Clumpy_contour             -0.006195206  0.003776686  0.0044890611  0.007029549
Sparse_contour             -0.059076026  0.097679502  0.0177822508 -0.022981115
Striated_contour           -0.422678072  0.028920458 -0.1133481928  0.001578661
Convex_contour              0.086430743  0.004321672  0.0229511480 -0.025219809
Skinny_contour             -0.017406799 -0.002504096 -0.0085534880  0.013858995
Stringy_contour             0.075465739 -0.182081059  0.0927866450  0.010275155
Monotonic_contour           0.068264163  0.015703651  0.0129579206  0.005798620
No_of_max_ponits            0.153104718 -0.297856550  0.2406562664  0.044714092
No_of_min_points           -0.196354086  0.376998829 -0.3053069901 -0.032695692
diameter                   -0.081058513  0.115449580  0.3376649976  0.084949459
area                        0.047937637 -0.009479163 -0.0031002801  0.115685687
perimeter                  -0.049593448  0.018353777  0.0716299519  0.160700340
physiological_length        0.142614148 -0.094546527 -0.2849500531  0.137743172
physiological_width        -0.186613575  0.099357193  0.2328066256  0.021807921
aspect_ratio               -0.231063046  0.172341252  0.4647537670  0.044743586
rectangularity              0.263026509  0.012361316  0.1206190022 -0.025182194
circularity                 0.093248715 -0.014871209 -0.1955030732  0.486575280
compactness                 0.068989297 -0.041162096 -0.0311432176  0.127830730
NF                         -0.099243523  0.019002541 -0.0505696214 -0.081744454
Perimeter_ratio_diameter    0.021731027 -0.051327073 -0.2367388370  0.186778085
Perimeter_ratio_length     -0.099533320  0.012793916 -0.0723935620 -0.079840901
Perimeter_ratio_lw          0.002654583  0.035979564  0.1641169952  0.055849006
No_of_Convex_points        -0.107012593  0.011952678  0.0427172735 -0.128261849
perimeter_convexity         0.205921113  0.011718370  0.3037802276  0.049450088
area_convexity              0.267838107  0.002154654  0.0275503554  0.130292841
area_ratio_convexity       -0.218617627  0.027906803 -0.1065983499  0.315644886
equivalent_diameter        -0.004801511 -0.001476801 -0.0097209243  0.144191268
cx                          0.028921006  0.026849307 -0.0032983935 -0.006434272
cy                         -0.005515768  0.005843465 -0.0154965350  0.008137784
eccentriciry               -0.236905268  0.115991997  0.1708818534  0.020228265
contrast                    0.020342441  0.009872459  0.0447053102 -0.111218379
correlation_texture         0.001841566 -0.017107062 -0.0615619414 -0.234651380
inverse_difference_moments -0.069406658  0.092517369  0.2064654577  0.481776588
entropy                     0.045342361 -0.028529182 -0.1038078464 -0.164683897
Mean_R_val                  0.001353542 -0.022367319 -0.0268499825 -0.002605400
Mean_G_val                 -0.050607149 -0.050632468  0.0377938973 -0.163876871
Mean_B_val                 -0.027811042 -0.038630667  0.0230176533 -0.142796662
Std_R_val                   0.045203333  0.051658827 -0.0470838459  0.277693263
Std_G_val                   0.060160663  0.007016027  0.0312140459 -0.090020802
Std_B_val                   0.035139572  0.039270295  0.0132521226 -0.035570789
correlation                -0.061486164  0.081745049 -0.0537541137 -0.010426468
                                    PC37         PC38          PC39
Skewed_polar               -0.0003657904 -0.005052467 -0.0003292184
Clumpy_polar               -0.0004470625  0.004240507  0.0012152236
Sparse_polar               -0.0480618860 -0.004834690  0.0049125112
Striated_polar             -0.0273740160  0.001584360  0.0021494968
Convex_polar                0.0480240211  0.037523365  0.0033559019
Skinny_polar               -0.0043604500  0.002504253  0.0054998310
Stringy_polar               0.0113079023  0.020636281  0.0100646335
Monotonic_polar             0.0160402850 -0.014894182 -0.0019352519
Skewed_contour              0.0024109872  0.001472219 -0.0040408793
Clumpy_contour              0.0036797635  0.006540062 -0.0005754981
Sparse_contour             -0.0132235222 -0.019880146 -0.0100820980
Striated_contour            0.0079680083 -0.006202413  0.0025054313
Convex_contour              0.0092994374  0.010881782  0.0020102829
Skinny_contour             -0.0194553101  0.010080508  0.0081383725
Stringy_contour             0.0017537754  0.008534699 -0.0087367632
Monotonic_contour          -0.0708052923 -0.010914413  0.0087008249
No_of_max_ponits           -0.0259195131  0.010870386 -0.0063978176
No_of_min_points            0.0348793449 -0.020995941  0.0191636853
diameter                   -0.1529502968  0.133286167 -0.0182130313
area                        0.2107737686 -0.428818331  0.1534543418
perimeter                   0.0388701089  0.062997547 -0.0410424789
physiological_length        0.0875160957  0.184824392 -0.1611634197
physiological_width         0.1902181010  0.054603597  0.0450403250
aspect_ratio               -0.1101616562  0.286469090 -0.1270759488
rectangularity              0.2928600833  0.209934509 -0.0732167551
circularity                -0.2326094116  0.144812498 -0.1826477980
compactness                -0.3401071725 -0.239452971  0.0713807103
NF                          0.0921661669  0.114377365 -0.0256097833
Perimeter_ratio_diameter   -0.0766721710  0.131846270 -0.1853522285
Perimeter_ratio_length      0.0949459676  0.109610572 -0.0377849926
Perimeter_ratio_lw         -0.3944335045 -0.298699076  0.1079954684
No_of_Convex_points        -0.0139930315 -0.021170507  0.0167726110
perimeter_convexity        -0.1711028118 -0.096064341  0.0131542465
area_convexity              0.0334572673  0.275616613 -0.0286115418
area_ratio_convexity       -0.3804652094  0.007837982  0.0614352047
equivalent_diameter         0.1436735524 -0.131197569 -0.0618131689
cx                         -0.0002685860  0.018263968  0.0020504685
cy                         -0.0169694243 -0.035640186  0.0021219827
eccentriciry                0.0472200451  0.117748895 -0.0775633767
contrast                   -0.1080470402 -0.007394712  0.0237447620
correlation_texture        -0.1912870800  0.024279250 -0.0041080423
inverse_difference_moments  0.3594220294 -0.274166998 -0.0596837441
entropy                    -0.0011544028 -0.132483791  0.0868199373
Mean_R_val                 -0.1000999744  0.310037471  0.2493343229
Mean_G_val                  0.0411656287 -0.229841373  0.0253263600
Mean_B_val                 -0.0817961678 -0.004079127 -0.1850147413
Std_R_val                   0.1531459392  0.080009199  0.4986658453
Std_G_val                  -0.0836876593  0.118567824  0.2502815342
Std_B_val                  -0.0180923642 -0.190594515 -0.6344382592
correlation                 0.0404525556 -0.003337357  0.0012485631
                                    PC40          PC41          PC42
Skewed_polar                3.683828e-03  4.370486e-04  4.361150e-03
Clumpy_polar                1.707338e-03 -2.181988e-03  9.215894e-04
Sparse_polar                5.022814e-03 -8.628021e-03  4.868450e-03
Striated_polar             -5.593185e-03  9.193745e-03 -8.586651e-03
Convex_polar               -2.518818e-02  7.325411e-03 -1.004189e-02
Skinny_polar               -5.258464e-03  1.316201e-03  1.298097e-03
Stringy_polar              -5.796017e-03 -1.463622e-02  3.765672e-03
Monotonic_polar             5.559558e-03 -7.337342e-04 -4.621472e-03
Skewed_contour             -2.372925e-03  3.575878e-05 -1.119900e-03
Clumpy_contour              3.286190e-03  2.730128e-04 -1.056599e-04
Sparse_contour              7.429130e-03  4.753216e-03 -1.786821e-02
Striated_contour            1.452368e-02  2.504146e-03 -2.482605e-02
Convex_contour             -5.456831e-03  1.075448e-02 -2.620704e-03
Skinny_contour              3.323609e-03 -2.460807e-03 -9.926199e-05
Stringy_contour            -2.103806e-02  9.745082e-03  6.131127e-03
Monotonic_contour           1.790581e-03 -1.341513e-02 -4.975428e-03
No_of_max_ponits           -6.263666e-03 -5.386482e-03 -1.084944e-02
No_of_min_points           -2.498293e-03  9.915508e-03  8.545024e-03
diameter                   -3.483821e-01  1.797347e-01 -5.410724e-02
area                        2.103441e-01  3.616644e-02 -1.744362e-01
perimeter                   1.973818e-01 -5.482538e-02 -9.041829e-02
physiological_length        7.158664e-02 -7.084498e-02  2.739373e-01
physiological_width         1.131224e-01 -1.162048e-01 -2.378700e-01
aspect_ratio               -7.487875e-02  2.314766e-02  3.756413e-01
rectangularity             -8.457731e-02  6.047391e-02  6.076128e-02
circularity                -2.259323e-01  1.979524e-01 -6.724966e-02
compactness                 9.894888e-03  2.159855e-01  2.971505e-01
NF                         -1.988640e-02 -1.012193e-01 -1.475031e-01
Perimeter_ratio_diameter    3.202609e-01 -2.864170e-01  3.395099e-01
Perimeter_ratio_length     -8.944105e-03 -8.370492e-02 -1.412606e-01
Perimeter_ratio_lw          3.183502e-02  7.258623e-03 -9.800460e-02
No_of_Convex_points         2.554081e-02  3.932516e-03 -8.359013e-03
perimeter_convexity         4.267372e-01 -3.588607e-01  3.629914e-02
area_convexity             -1.815046e-01 -3.362738e-01 -3.593336e-01
area_ratio_convexity       -6.873192e-02 -3.388672e-01 -2.675541e-01
equivalent_diameter         5.624140e-02  1.669872e-01 -3.539699e-02
cx                         -2.922582e-03  7.267830e-03 -1.897874e-03
cy                          8.056229e-05  1.100361e-03  2.140854e-03
eccentriciry                2.491888e-01 -1.294142e-01  1.863914e-01
contrast                    6.757581e-03 -3.317691e-02 -8.102310e-03
correlation_texture        -2.611745e-02 -3.863695e-02  7.369317e-03
inverse_difference_moments -4.249736e-02  8.289684e-02  1.037126e-01
entropy                    -1.876567e-01 -3.192555e-02  2.650973e-01
Mean_R_val                  3.557247e-01  3.605829e-01 -1.217926e-01
Mean_G_val                 -3.635330e-01 -4.176917e-01  1.873090e-01
Mean_B_val                  9.471449e-02  1.315254e-01 -8.690961e-02
Std_R_val                  -1.266660e-01 -1.418054e-01  1.646189e-01
Std_G_val                   2.701575e-02  1.807294e-02  2.907979e-02
Std_B_val                   4.667337e-03  1.013469e-02 -1.282922e-01
correlation                -5.203567e-03  1.739569e-02  8.107054e-03
                                    PC43          PC44          PC45
Skewed_polar                0.0012104247  0.0007790384  0.0012813297
Clumpy_polar                0.0003306225  0.0020588683 -0.0012175774
Sparse_polar                0.0036414605 -0.0041415097  0.0054614437
Striated_polar              0.0101309613  0.0065556966  0.0015854874
Convex_polar                0.0069526611  0.0081746062 -0.0160809681
Skinny_polar               -0.0007285160 -0.0009898102  0.0004040394
Stringy_polar               0.0028497862 -0.0037450319 -0.0074486557
Monotonic_polar            -0.0081454276 -0.0113380809  0.0037784461
Skewed_contour              0.0019445200  0.0012244751 -0.0022836114
Clumpy_contour             -0.0030063329  0.0004422340 -0.0032213690
Sparse_contour             -0.0061001492 -0.0040766356  0.0040608833
Striated_contour           -0.0131201009 -0.0012002254 -0.0016286313
Convex_contour             -0.0050305715 -0.0150761747 -0.0042174721
Skinny_contour             -0.0040387235  0.0004297600 -0.0020520376
Stringy_contour             0.0056193064  0.0094730704 -0.0044763592
Monotonic_contour           0.0079257206  0.0079497504  0.0009533900
No_of_max_ponits            0.0053861975 -0.0002350160 -0.0005144041
No_of_min_points           -0.0037374878  0.0119615117 -0.0002213952
diameter                    0.0194077922 -0.0077445127 -0.2096325059
area                        0.2413690028 -0.3472606539 -0.2775027897
perimeter                  -0.3214612207  0.1313667916  0.5087257463
physiological_length        0.1000829753 -0.1259248030 -0.1229978646
physiological_width        -0.0239714196 -0.0149962722  0.2918213387
aspect_ratio                0.1511985731 -0.1574317519 -0.1684531767
rectangularity              0.0671690146 -0.1251911822  0.1547670174
circularity                -0.3379201809  0.1659844388 -0.0380334729
compactness                 0.1544069704 -0.2916036329  0.4077456103
NF                         -0.0443132539  0.1361153958 -0.1874536124
Perimeter_ratio_diameter    0.0465547806  0.0188783673 -0.2030053699
Perimeter_ratio_length     -0.0807153053  0.1556369124 -0.1919355581
Perimeter_ratio_lw         -0.1192133721  0.1681015816 -0.2908806769
No_of_Convex_points        -0.0112574521  0.0243571361 -0.0033208746
perimeter_convexity        -0.1667804337  0.2254802724 -0.0741461979
area_convexity              0.3430736560 -0.0306379864  0.0029185318
area_ratio_convexity        0.3653944794 -0.0947657551  0.1354250748
equivalent_diameter        -0.0849430523  0.0351150433 -0.2268739077
cx                         -0.0006716426  0.0006927837 -0.0149369603
cy                         -0.0019138789 -0.0007557646  0.0006060819
eccentriciry                0.0464559113 -0.0238157321  0.0357030881
contrast                   -0.0457808434 -0.0572523324  0.0168597474
correlation_texture        -0.0116920340 -0.0137660724  0.0307526158
inverse_difference_moments  0.2082136457  0.3053695984  0.0464409431
entropy                     0.4068876510  0.6469445770  0.1226709097
Mean_R_val                  0.2161504192  0.1171331917 -0.0402520039
Mean_G_val                 -0.1788495062 -0.0959409775  0.0165694803
Mean_B_val                  0.1030055998  0.0861290427  0.0279592600
Std_R_val                  -0.2144548084 -0.0794546288 -0.0424656168
Std_G_val                   0.0079648350  0.0462587242 -0.0022773797
Std_B_val                   0.0363349968 -0.0596284169  0.0435598527
correlation                -0.0127740746 -0.0049437709 -0.0060594147
                                    PC46          PC47          PC48
Skewed_polar                7.259041e-04  8.544364e-04  1.250485e-04
Clumpy_polar               -9.750281e-04 -6.135466e-04 -5.475779e-05
Sparse_polar                7.461339e-03  2.207685e-05 -1.166421e-03
Striated_polar             -7.798481e-03  2.820759e-05  1.086123e-03
Convex_polar               -1.145809e-02 -5.307684e-04  5.000682e-03
Skinny_polar               -8.211497e-05 -6.879933e-04  1.923043e-04
Stringy_polar               4.324623e-03 -5.328134e-05  5.752444e-04
Monotonic_polar             5.537034e-03 -1.703911e-03  5.586788e-04
Skewed_contour             -5.677571e-04 -9.124531e-04  7.000652e-04
Clumpy_contour             -8.710358e-05 -4.586825e-04 -4.324155e-04
Sparse_contour              5.375231e-03  1.054810e-03  2.455696e-04
Striated_contour            4.392871e-03 -1.305505e-03  9.029738e-04
Convex_contour              1.290668e-03  1.078524e-03  1.113987e-03
Skinny_contour              1.425820e-03 -1.208742e-03  5.240336e-04
Stringy_contour            -2.061749e-03  1.706426e-03  1.408483e-03
Monotonic_contour           2.744057e-03  2.739086e-03 -3.223233e-03
No_of_max_ponits           -1.032386e-03 -2.259046e-03  2.053790e-03
No_of_min_points            3.766309e-04  2.609004e-03 -7.125660e-04
diameter                   -8.210071e-02  1.120940e-01  4.880911e-01
area                       -3.552392e-01 -2.485314e-02 -7.488130e-02
perimeter                  -1.205548e-02 -4.457938e-02 -2.308662e-01
physiological_length       -1.343634e-01 -1.101094e-01 -2.832020e-01
physiological_width        -1.515258e-01 -1.488231e-03  2.997489e-01
aspect_ratio               -1.532693e-02 -8.224617e-02 -3.962163e-01
rectangularity              1.439735e-02  1.672941e-02  7.197886e-02
circularity                -2.506598e-01 -6.065116e-02 -3.501748e-02
compactness                 1.517922e-01  4.812561e-02  1.112837e-01
NF                         -2.644292e-03  8.680209e-03  1.123240e-02
Perimeter_ratio_diameter   -2.572404e-02  1.490619e-01  5.028353e-01
Perimeter_ratio_length      3.990709e-03 -1.873092e-02 -1.156409e-01
Perimeter_ratio_lw         -6.722555e-02 -8.520932e-02 -1.500289e-01
No_of_Convex_points         2.686287e-03  7.069987e-03 -6.452896e-03
perimeter_convexity         3.155065e-02  3.090848e-03  6.457000e-03
area_convexity              1.444675e-01  2.699125e-02 -8.632834e-02
area_ratio_convexity        1.337131e-01  2.063742e-02 -7.448703e-02
equivalent_diameter         8.162096e-01  1.035245e-01 -2.779842e-02
cx                         -3.810748e-03 -2.342605e-04  1.384960e-03
cy                          4.547886e-03  2.874572e-04  2.533767e-04
eccentriciry                6.797472e-03  2.018774e-02  6.334434e-03
contrast                    4.642946e-03  2.612515e-02 -2.088569e-03
correlation_texture        -1.774727e-03  9.341646e-03 -2.912066e-03
inverse_difference_moments -2.652813e-02 -2.002165e-02  7.366977e-04
entropy                    -6.984105e-02 -2.941228e-02 -1.081321e-02
Mean_R_val                  6.185363e-02 -4.581860e-01  1.095346e-01
Mean_G_val                  6.598407e-02 -2.888024e-01  6.973393e-02
Mean_B_val                 -1.185234e-01  7.240087e-01 -1.779746e-01
Std_R_val                  -3.907584e-03  2.104268e-01 -4.844212e-02
Std_G_val                  -1.176172e-02  7.297821e-02 -1.284110e-02
Std_B_val                   9.646187e-04 -2.195661e-01  5.517993e-02
correlation                -1.979217e-03 -2.410570e-03  2.906989e-03
                                    PC49          PC50
Skewed_polar                7.640785e-04  3.176996e-04
Clumpy_polar                1.502099e-04  7.677887e-05
Sparse_polar               -1.718772e-03 -2.612760e-04
Striated_polar              7.253519e-04  7.676441e-04
Convex_polar                1.620655e-03  5.418944e-04
Skinny_polar                4.899702e-04  7.969979e-05
Stringy_polar              -1.719811e-03 -5.430671e-04
Monotonic_polar             7.073331e-04  2.511377e-04
Skewed_contour             -2.645788e-04  6.341052e-05
Clumpy_contour             -1.207953e-05  3.740111e-05
Sparse_contour             -2.350326e-04  7.584343e-05
Striated_contour            4.406831e-04  1.347838e-04
Convex_contour             -2.543723e-03 -6.028295e-05
Skinny_contour              3.519443e-04 -2.633561e-04
Stringy_contour            -1.335821e-03 -1.877333e-04
Monotonic_contour          -8.075501e-04 -2.199503e-04
No_of_max_ponits           -1.873901e-03 -6.740444e-04
No_of_min_points           -5.423828e-04  4.334309e-04
diameter                   -1.390930e-01 -7.222408e-02
area                       -2.379111e-01 -2.397988e-02
perimeter                  -3.847182e-01 -4.231798e-03
physiological_length        4.466292e-01  7.009416e-02
physiological_width         6.344646e-01  3.085429e-02
aspect_ratio               -7.113438e-02  1.991807e-02
rectangularity              4.006603e-02 -5.181504e-03
circularity                 3.772078e-02  2.446553e-02
compactness                 7.991531e-02 -5.723231e-03
NF                         -1.092759e-01  7.084119e-01
Perimeter_ratio_diameter   -1.433552e-01 -5.060260e-02
Perimeter_ratio_length      2.854614e-02 -6.917373e-01
Perimeter_ratio_lw          3.251305e-01  5.699506e-02
No_of_Convex_points        -1.004492e-04 -1.493827e-04
perimeter_convexity        -6.781162e-04 -9.465353e-03
area_convexity             -4.029283e-02 -1.245941e-02
area_ratio_convexity       -2.705372e-02 -1.293896e-02
equivalent_diameter         1.086900e-01  2.391306e-02
cx                          9.755916e-04 -7.679707e-05
cy                         -2.070541e-03  6.521268e-04
eccentriciry               -8.227267e-04 -9.065902e-04
contrast                    1.588421e-03  1.504230e-03
correlation_texture        -1.224069e-03  1.094789e-03
inverse_difference_moments -4.557005e-03 -1.264536e-04
entropy                    -9.024885e-03 -1.016310e-03
Mean_R_val                 -4.131482e-02 -4.317373e-03
Mean_G_val                 -2.346848e-02 -3.608105e-03
Mean_B_val                  5.658443e-02  9.356837e-03
Std_R_val                   2.181761e-02 -6.814630e-04
Std_G_val                   4.152014e-03 -3.570733e-05
Std_B_val                  -1.634130e-02 -1.355362e-03
correlation                -2.037053e-03  2.331297e-04

$pca_components
               PC1           PC2           PC3           PC4          PC5
1      3.503934804   0.575837990  1.576715e+00  0.8123011920 -0.069777876
2      3.405931930  -0.146321268  6.589298e-01  0.6687188090 -0.429122910
3      4.386054528  -6.163904789 -9.840078e+00  2.1886233223 -0.906350935
4      3.407314767   1.046732279  1.709396e+00  2.1365056879 -0.247737935
5      3.385975562  -0.172590107  1.918230e+00  2.0006107687 -0.663662458
6      3.302234074   0.306488643  1.936486e+00  2.3334327347 -0.392756759
7      3.490404099   0.665752300  1.637282e+00  1.7244507885 -0.301995404
8      3.026734680  -0.071785424  1.508643e+00  2.5960029132 -0.717669196
9      3.771200429   0.336917246  1.794904e+00  1.2282741619  0.080438793
10     2.824190144  -0.047895306  1.426813e+00  2.5969585602 -0.875571317
11     3.487979996   0.855036269  7.654770e-01  1.8177241568 -0.538947711
12     3.021533958  -0.407300423  1.499433e+00  2.0724283418 -0.663099745
13     3.595431240   0.915723204  6.764700e-01  0.8618299244  0.250552667
14     4.147285953  -5.851708303 -9.650523e+00  2.4214689636 -1.176632763
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671   -3.755309497   1.996013457  1.377306e-01  0.8719387649  0.597844938
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673   -3.165726522   1.840537511 -5.198687e-01  1.4594938917  0.582292689
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675   -4.609964318   1.533943655 -6.636557e-01  0.5664081843  0.313181580
676   -2.495143446   1.898684279  1.139836e-01  1.2016056180  0.801801266
677   -2.419042302   0.728012520 -2.585073e-01  1.0743528247  0.137945346
678   -2.499016872   1.409265351 -1.540449e-01  1.1265316111  0.547328391
679   -2.841123417   1.440310795 -1.140489e-01  1.7574200588  0.133968838
680   -0.664759876  -2.007880814 -6.060105e+00  1.2915088764 -0.390272618
681   -0.785543377   1.410095210  1.128110e-01  1.8248052102  0.626739300
682   -0.184919036   1.390250888 -3.185357e-02  1.2868791141  1.111220014
683    0.646992660   1.599813496 -3.499319e-01  0.5379163480  1.733834250
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696    1.312380677   1.624022689 -1.935751e-02  0.1502374015  2.182839748
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699    0.121586506   1.558088884  3.560354e-01  1.1783017404  1.323128851
700   -0.007687676   1.037691226 -6.641414e-01  1.8540818456  0.717100306
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702    1.484020755  -3.025013774 -8.785455e+00 -0.4398421608  1.344971419
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704    0.075913964   1.691098554  6.144589e-01  1.2220181617  1.189820674
705    1.637290338   1.831002154 -3.134806e-01  0.2844658807  2.170617112
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711   -1.650977093   1.308657252  4.136820e-03  2.3774722528  0.207683078
712    0.528253362   1.511669031 -1.947910e-01  0.8085829843  1.441896094
713   -0.287156873  -2.002262151 -6.273846e+00  1.2246695234  0.175706912
714    0.561374562   1.706123675 -1.608073e-01  0.5150515579  1.395436280
715   -1.624669208   0.303505540 -2.029711e+00  3.0941873297  0.037746925
716    0.656966425   0.937507139 -1.096563e+00  1.2286074357  1.330511202
717   -0.633288665   1.449961533  1.532021e-01  1.6240178542  0.818142027
718    1.105138800   1.809379313  9.264839e-02  0.4906688517  1.749416970
719    0.390688432   1.948831381  2.420425e-01  0.5186678004  1.604659485
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723    0.819436882   1.441799703 -1.418953e-01  0.8201136110  1.539277149
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725   -2.088778083   1.080093633  5.527498e-01  1.2948832875  0.047093572
726   -1.323626234   1.373508003  4.137850e-01  0.8326337959  0.489196302
727    1.375006682   1.934995204  3.015636e-01  0.0669398447  2.057272166
728   -0.930830220   1.534771295  5.334352e-01  1.7305725330  0.689820956
729   -0.745857146   1.307121634 -1.952104e-01  2.7315396170 -0.273117555
730    1.076200950   2.045020338  6.595399e-01  0.3199626116  1.922389989
731    0.169119798   1.666690539  6.995803e-01  0.3413185228  1.749660435
732    1.186589191   1.815759444  3.867544e-02  0.2896819043  1.789913745
733    0.558654432   1.954829458  4.628381e-01  0.7942906910  1.506601971
734    1.319391974   1.970440671  1.701478e-01  0.6879026573  1.674429755
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742   -1.472076878   1.051192878  5.038104e-01  2.1698150338  0.035176931
743   -2.257675442   0.984192499 -5.630136e-01  4.8645304036 -1.897216180
744   -2.550645055   1.558500258  3.741991e-01  4.6994515236 -2.146293916
745   -2.771536206   1.705115053  3.210949e-01  4.7841876112 -2.216893825
746   -2.354409019  -1.821054676 -6.135608e+00  3.9357442550 -2.455637992
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748   -2.942228345   1.501434077 -9.241125e-03  4.8442021314 -2.602875988
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752   -3.283852574   1.197322942 -1.263920e-01  5.6560327661 -3.021221887
753   -2.411961687   1.306593877  3.986020e-02  5.0270275423 -2.215366585
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788   -3.360032867   1.200672675  4.065852e-01  5.2065860221 -3.360686164
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804   -3.317822134   1.311206329  5.861795e-01  5.0297966789 -2.941965377
805   -3.232320299   1.454989769  3.916016e-01  5.4036730312 -3.053392019
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807   -3.283017289   1.321541378  5.123984e-01  5.0483588590 -3.098075875
808   -3.057236284   1.230079497  7.224649e-01  5.4231795191 -3.100188028
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810   -0.964384850   1.699360409  3.861357e-01  3.5381219384 -1.158070683
811    0.272380565   1.966002546  4.828966e-01  2.2588122845 -1.027219143
812   -1.192446157   1.963435106  7.484270e-01  3.5714010371 -1.534805609
813   -0.207054391   1.036216213 -1.277765e+00  1.4028516984 -1.228021154
814    0.958096378   2.404665825  7.478854e-02  1.6783405958 -0.543019465
815    1.273590127   2.044878895  2.412995e-01  2.1828310277 -0.733013790
816   -1.823636493   1.610532786  8.089976e-01  1.3942673610 -0.216437375
817   -2.136387699   1.284917090 -4.546976e-02  1.5482032790 -0.305420680
818   -2.229734488   1.151043062  4.179176e-01  2.5925218728 -0.962285987
819   -1.809768009   1.459751886  4.687151e-01  2.4556621604 -0.842479130
820   -1.724246631   1.347539789 -3.012850e-01  1.3004941263 -0.480720357
821   -1.455497268   1.549758617  1.226610e+00  0.9474426014  0.214217999
822   -1.008564527   1.010978304  1.558139e-01  1.7999566147 -0.689603988
823   -1.999266454   1.085389274  1.963099e-01  2.5450559125 -1.170519288
824   -2.119561091  -1.247100594 -4.343160e+00  1.7394511630 -1.597851739
825   -0.828630968   1.510061184  1.364671e+00  0.8123935861  0.144864002
826   -2.524165582   1.223132154  1.641161e-01  1.5225412179 -0.726556817
827   -0.657255337   2.042432108  4.053269e-01  0.4321340508  0.652910465
828   -0.560174467  -1.733038939 -6.832778e+00  0.6769826569  0.439385487
829   -1.064616455   1.915824689  3.547415e-01  0.9429122511  0.263339873
830   -1.173025414   1.103193770  1.852127e-01  1.6041828770 -0.152510167
831   -1.083429286   1.868656741  5.719819e-01 -0.3334496901  0.802909433
832   -1.592203491   1.641605031  8.931275e-01  1.3938951226 -0.373424787
833   -1.305592780   1.623573225  5.778921e-01  1.6392109482 -0.126595738
834   -1.845588774   1.152830310  1.105233e+00  1.9430396568 -0.613864821
835   -0.850820501   0.727181160 -1.330445e+00 -0.4714669714  0.082115754
836   -0.409667783   1.958600942  7.761773e-01  0.0728156819  0.972786696
837   -0.784262395   1.827701347  6.224982e-01  0.6360749929  0.388200994
838   -0.240291483   1.508890593  6.252802e-01  1.0897793794  0.296854003
839   -0.346891145   2.024752069  3.323909e-01 -0.0651275535  0.489618686
840   -0.815474746   1.765432013 -1.753272e-02  0.3448564366  0.335920368
841   -1.828782578   1.545023475  9.494423e-01  0.5617360085  0.152193403
842   -1.388938611   0.251877338 -1.756616e+00 -0.1314546090 -0.084155424
843   -1.323963182   0.500072405 -1.104983e+00 -0.8551557028  0.388015818
844   -2.126732806   0.085646945 -1.145384e+00  0.0782894364 -0.344982857
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847   -0.590529615   0.945424599 -1.047644e+00 -0.9118431595  0.642674359
848    0.628257378   1.244676604 -7.682029e-01 -1.8183559867  1.313398441
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852   -0.696640872   0.505211501 -1.242527e+00  0.1728995101 -0.404770284
853   -2.080792433   0.352364532 -8.114530e-01  0.3419174538 -0.763653313
854   -1.129296156   0.438143406 -1.527326e+00 -0.4630310405  0.411087034
855   -1.073159153   0.001740519 -1.940409e+00 -0.9586714895  0.010754506
856   -0.420028836   1.017710946 -1.068151e+00 -1.3447441979  1.130425288
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858   -0.977489046   0.379630031 -1.211389e+00 -1.6214681896  0.995537983
859   -2.152916553   0.740025204 -1.016910e+00  0.1103362049 -0.380989806
860   -0.510392287   0.905116007 -1.399794e+00 -0.9919980671  0.275384980
861   -0.318921936   0.976388976 -1.315071e+00 -0.7471720513  0.396363618
862   -0.040393854   0.751212486 -1.331474e+00 -1.0816599130  0.486445376
863   -1.066269881   1.255210496 -9.305764e-01 -0.0900590382  0.335565605
864   -1.260033607   0.411683209 -1.290693e+00 -0.5982261110  0.348581021
865   -1.405851703   0.572828722 -1.313827e+00  0.1534005351 -0.359083194
866   -2.247167939   0.391145484 -8.261808e-01  0.2219806922 -0.506686772
867   -2.378599301   0.227277316 -1.032141e+00  0.6822009455 -1.073920884
868   -0.475458880  -0.015934226 -2.898721e+00 -0.6098541226  0.330487583
869   -1.361916735   0.421352125 -1.991549e+00 -0.0746944676 -0.280177600
870   -1.985954101   0.604562170 -6.929747e-01  0.1062986908 -0.460229754
871   -2.536100547   0.350591328 -1.247877e+00  0.4538603158 -0.856188670
872   -0.541134929   0.814591214 -1.536167e+00 -0.8600835262  0.426017252
873   -1.593416111   0.668165492 -1.203456e+00 -0.1798151781 -0.204905018
874   -0.469966304   1.364263067 -7.600235e-01 -1.0883390408  0.936664231
875   -0.160778525   1.087378842 -1.448963e+00 -0.7627825575  0.875515065
876   -0.519815706   0.444768914 -1.959040e+00 -0.3475885259  0.426724023
877   -2.032767376   0.972579586 -9.706354e-01 -0.3023841762  0.077311646
878    0.731284276  -0.633046800 -4.187617e-01 -1.9964140438  0.914673132
879    1.123031955  -3.027334960 -5.104675e+00 -1.3471627585  0.834165112
880   -2.723309605   0.544178667 -7.520674e-01  1.3140302293 -1.373765135
881   -3.042529461   0.336603833 -1.039015e+00  1.0852495680 -1.246352053
882   -2.305396695  -0.199847571 -1.219237e+00  1.2414021817 -1.428516706
883   -1.738323114   0.277161952 -1.382266e+00  0.1349829829 -0.427756328
884   -3.019015697   0.266134096 -1.070158e+00  1.5235480214 -1.183565162
885   -1.905580088   1.297422331  8.483231e-01  3.3702048362 -2.221416941
886   -1.965703168   1.221323463  3.623020e-01  2.6024275633 -1.156820043
887   -1.141088036   1.238754299 -4.942823e-02  1.3617146386 -0.477861460
888   -1.115842332   0.876819534 -7.244844e-01  1.5065605307 -0.240434655
889   -1.117092330   1.489072391  1.429377e-01  1.8231559472 -0.420179423
890   -3.056515757   0.950934406  6.023826e-01  1.4506766433 -1.365038390
891   -1.807434688   0.266907824 -1.500248e+00  1.0372408126 -0.976680503
892   -2.592011830   1.124411715  1.107987e-01  2.3504499411 -2.489041350
893   -1.727552885   0.875141312  3.810335e-01  0.5076071325 -0.577099585
894   -2.580385367   1.254356552  7.007884e-01  0.6507606176 -0.667395371
895   -2.986630624   1.283553666  2.018686e-01  0.7894696759 -0.618442956
896   -2.592542809   1.201305257  7.746273e-01  0.4949210819 -0.513015353
897   -1.638108358   1.504952599  7.239215e-01  0.3105360429 -0.167052785
898   -2.937845233   1.124244592  7.450572e-01  0.4930341641 -0.553321091
899   -3.196814146   1.143784987  3.805144e-01  1.1421187073 -0.866749843
900   -1.703707306   1.630032228  1.613386e-01  0.1037453518  0.236562501
901   -0.539779518   1.966105114  7.148297e-01  1.0985751372  0.030122375
902   -1.944461117   0.424521417 -2.041007e+00 -0.6989981628  0.337279426
903   -1.568292356   1.796835385  1.726867e-02  0.5775557681  0.412751331
904   -1.126655826   1.777526681  3.236984e-01 -0.0899340958  0.639349395
905    0.107088014   2.323947818  1.930020e-01 -0.1735539968  0.743523865
906   -0.988361351   2.039099535  3.451074e-01  0.6229950322  0.265097094
907   -2.105567812   1.389860197  1.030190e-01  1.5828720953 -0.961806945
908   -0.163233232   1.676316656  1.614365e-01  1.0415396128 -0.055535832
909   -1.035157800   1.844015847  2.869014e-01  0.0504998436  0.804842197
910   -0.717356338   1.735572310 -2.822764e-03  1.0290793777  0.124879956
911    0.011124329   2.038823108  6.938442e-01  0.5999396595  0.383964511
912   -0.217394325   1.790275081  1.802225e-01  1.1802358514  0.181882666
913   -0.148560148   0.320862529 -2.630985e+00 -1.2524264964  0.561597145
914   -0.815543443   2.076157926  5.060641e-02  0.1632877563  0.667763791
915   -1.497888103   1.744887904  5.747826e-01  0.8690257163  0.139954967
916   -2.020827020   1.511396445  4.456746e-01  0.8366843323  0.364530477
917   -0.487333596   2.117165088  6.112499e-01  0.5329653533  0.389379513
918   -0.900036724   1.811477855  5.780251e-01  0.0239751365  0.856061409
919   -1.412646801   1.850208843  4.749351e-01  0.7020143903  0.385171328
920    0.396240098   1.819736636  1.386507e-03 -0.2183313545  0.759372527
921   -0.221893604   1.113855916 -6.747923e-01  0.0669224659  0.259075220
922   -0.693545908   1.821209582  1.478432e-01 -0.4650962527  0.827984190
923   -0.227321132   0.327799811 -2.384192e+00  0.1507783158  0.454947404
924   -0.494341775   0.567036973 -1.857229e+00 -0.9498950425  0.639559975
925    0.137702762   1.563578387  2.020687e-01 -0.0196703109  0.404058764
926   -0.347189417   1.622449990  2.709847e-01  0.2655512035  0.496282928
927    1.339261649   2.208068293  3.694240e-02 -0.2414473129  0.751820777
928   -2.811126624   1.114189595  4.256700e-01  1.7418117542 -0.971830060
929   -2.009273874   1.372692253  7.151088e-01  1.4639354215 -0.724739903
930   -3.138777365   0.201338067 -1.166805e+00  2.3209980436 -1.847518537
931   -1.223774321   1.336003098  1.570907e-01  1.4386375037 -0.770182680
932   -0.221630547   1.710620941  2.126747e-01  1.0658379350 -0.106599356
933   -0.705207095   1.749375723  1.826253e-01  0.7260556889 -0.032881423
934   -1.857969672   1.211657950  2.078218e-01  1.5541083313 -0.705371519
935   -3.313211183  -0.060858986 -1.643980e+00  1.6912294247 -2.381168109
936   -5.039112610   0.846096337  5.615154e-01  2.6486619116 -2.602080031
937   -2.010846296   1.427310943 -7.373216e-02  1.8414808697 -1.731660769
938    0.003095449   1.621482852 -1.974505e-01  0.2640386097 -2.740920951
939   -2.039831166   0.652013311 -1.282667e+00  1.9264601058 -1.743052165
940   -0.642196472   1.575627689  1.598800e-01  0.9488158943 -3.084717110
941   -2.357418805   1.403811060  8.121320e-01  2.1728954841 -1.901590909
942   -1.313309197   1.563883407  2.863124e-01  1.5318946018 -2.980191182
943   -2.094310599   1.346870872  4.014260e-01  1.4334365218 -1.552176702
944   -1.879296539   1.954567836  2.639376e-01  0.9863644209 -1.322045477
945   -1.933491069   1.764237991  6.579492e-01  2.3149498354 -2.286339232
946   -2.007298205   0.146334990 -2.463177e+00  1.3269521083 -2.616333094
947   -2.434809996   1.528288174  9.080199e-01  1.7293842901 -2.078286463
948   -1.442732766   1.427264806  8.615202e-02  1.3635120302 -2.337727520
949   -2.354189181   1.273343379 -1.310226e-01  2.3829266662 -1.604569233
950   -2.427151099   1.161171797 -1.994784e-01  2.6829918548 -1.734771973
951   -2.158475268   1.043293210 -8.751519e-01  2.6298759392 -2.127176697
952   -1.338319292   1.020853368 -1.149337e+00  1.5878373375 -1.238636668
953   -1.906453060   1.329823647 -3.405083e-01  2.2969641958 -1.850135078
954   -1.890899593   1.132698631 -2.107321e-01  2.1662409558 -2.593400775
955   -1.149271805   1.316107217 -4.278667e-01  1.8619636103 -1.711968305
956   -2.112274554   1.068677272 -4.425910e-01  2.4763658654 -1.442012164
957   -1.796945805   0.259282524 -2.135608e+00  0.8917294089 -1.144437759
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961   -2.111605790   0.996281045 -6.382051e-01  2.2378613284 -1.116151574
962   -2.753972574   0.619598607 -9.689627e-01  2.9817196639 -1.937734624
963   -2.199368252  -0.344165594 -3.048750e+00  2.4284031767 -1.817206677
964   -1.500018812   1.490265076 -9.910231e-02  0.7945387173 -0.436988564
965   -2.047174460   0.952139730 -4.845948e-01  2.5430730921 -2.543480264
966   -2.112075737   1.192962719  1.963818e-01  2.1695182707 -1.472554450
967   -1.566474464   0.395360474 -1.376665e+00  2.1924903288 -1.102839570
968   -3.596822757  -0.267762609 -1.623421e+00  1.5772924146 -2.613972906
969   -2.265645342   1.288697571 -3.953943e-03  2.9346994686 -2.684742361
970   -2.485007205   1.049634542 -2.663551e-01  2.8080805330 -2.677931569
971   -2.248046681   1.126824866 -5.655708e-01  2.9127123365 -2.493954028
972   -2.888942928   1.123864920  1.872401e-02  2.9200788260 -2.730476805
973   -2.972835451   1.106226907 -3.532227e-01  3.6065115427 -2.719934152
974   -2.839162058   0.988048254  2.847594e-01  0.7472688275 -0.850156753
975   -3.086601489   1.128701513 -2.923763e-01  1.8659098278 -2.009013661
976   -2.211998397   1.113546177 -3.359847e-01  1.5255461243 -2.410463600
977   -3.698594687   0.503486329 -1.033110e+00  2.1017849577 -2.615232459
978   -3.807817689   0.343741435 -1.199889e+00  2.8285140920 -1.954425644
979   -3.973516600   0.168414013 -1.661394e+00  1.4396313944 -1.761982001
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981   -3.060910651   0.574360659 -3.232422e-01  1.3450430856 -0.979920391
982   -2.932867757   0.663882712 -7.413882e-01  2.2919138265 -2.629969832
983   -3.364481568   0.899978884 -2.311519e-01  2.7004612724 -2.705509247
984   -4.461326765   0.687806206  3.492442e-01  1.9914762482 -2.814249092
985   -4.346545292   0.003747065 -1.068055e+00  3.0599027178 -2.403763941
986   -3.897966759   0.575317479 -1.234098e-01  2.9896661166 -2.911017204
987   -3.794074191   0.848034572 -3.213111e-01  2.0972305387 -1.613183968
988   -4.162663992   0.719378976 -5.771882e-01  2.4547876357 -2.122158557
989   -3.650092402   0.499484161 -5.526523e-01  3.2320557824 -3.427501976
990   -3.724841593  -0.596804033 -2.314338e+00  0.3562032754 -2.353026827
991   -4.219969690   0.262747523 -7.381527e-01  2.6945385067 -2.939942732
992   -4.024736609   0.409004911 -9.184418e-01  2.9046621442 -2.544760203
993   -3.960459641   0.772215486 -2.445727e-01  1.8815353878 -3.129868363
994   -3.284728167   1.156711254 -4.067595e-01 -0.1870879534 -3.236445105
995   -3.949036259   1.049963871 -8.808274e-03  2.3148019890 -2.413867428
996   -3.753163585   0.649920722 -5.192687e-01  2.2144954638 -2.134884205
997   -4.251333470   0.886903949  2.958195e-01  2.7100387318 -2.670241971
998   -4.030384531   1.248317237  6.075508e-02  2.5409292863 -2.500514736
999   -4.694883804   0.636212491  4.471632e-01  3.3037562291 -3.483432123
1000  -0.995100518   1.348633739 -2.186229e-01  1.6093977709  0.418242352
1001   0.589320873   1.372717629  1.175531e-01 -0.1607836735  0.916961472
1002   0.114873395   0.858866393 -1.792879e+00 -0.3737360428  1.016323047
1003   0.890708734   1.562840027 -5.067196e-01  0.6882058427  1.427964158
1004  -0.582068228   1.482470182 -2.192910e-01  1.2395381739  0.761160462
1005  -0.689281134   1.599690691 -1.731052e-01  1.7453362037  0.583569483
1006  -0.485379556   1.332693688 -5.086224e-01  1.8668812744  0.340023963
1007   0.720765812   1.541969513 -1.086386e-01  1.2522903011  1.285652636
1008   1.604049157   1.099220455  7.461004e-03  1.1437696983  0.291079812
1009   0.935766901   1.414558891 -1.868926e-01  1.4500698444  0.753640927
1010   0.871595013   1.611917869  2.652330e-01  0.9712203681  0.736369450
1011   0.985729911   0.561581983 -1.767277e+00  0.4299985677  0.605818657
1012   1.805513409   0.729771667 -1.240396e+00 -0.4994014025  0.685825740
1013   1.946858054   0.160425373 -1.587571e+00  0.1852001083  0.587492068
1014   1.692586200  -0.040850051 -2.951904e+00 -0.3820572742  0.757388802
1015   1.900498695   0.468072973 -1.711865e+00 -1.5649760157  1.465759190
1016   1.411807895   0.127740424 -1.836596e+00 -0.0427249277  0.359316501
1017   1.882551600   0.756964808 -1.619802e+00 -0.8591919493  0.825858205
1018   1.693592567   0.414612396 -2.278216e+00 -0.5379259437  0.717726560
1019   2.357044409   0.632569725 -1.333210e+00 -0.9225314775  1.371180790
1020   1.933673168   1.445930713  2.751359e-01 -0.2186177360  0.886084662
1021   1.405782572   1.526653924 -2.886019e-01 -0.4838750857  0.994850501
1022   1.165212913   0.362934317 -2.099476e+00 -1.0898932567  1.537740643
1023   2.071922456   0.496428586 -1.825618e+00 -1.8997592295  1.779122164
1024   1.017556124   0.940426521 -1.277418e+00 -0.3681325023  1.300432056
1025   2.240037027   0.693661628 -2.044368e+00 -0.5495702111  1.203633290
1026   2.276579885  -0.248689109 -3.432594e+00 -1.3439547391  1.036945773
1027   1.710999557   0.250915835 -2.324334e+00 -1.4796921650  1.831609763
1028   1.862884515   0.406456913 -2.213023e+00 -1.0802325176  1.522981476
1029   2.158521066   0.570068207 -1.538407e+00 -1.7606013639  1.902982084
1030   2.123899530   0.158615272 -2.076664e+00 -0.8230951496  1.015807933
1031   1.306251527   0.785047592 -1.681568e+00 -0.2695251595  0.659597424
1032   1.261534132   1.389389158  1.058649e-01 -0.1368833227  0.891464885
1033   1.679679957   0.298966604 -1.629566e+00 -0.3132345191  0.644232802
1034   1.842017768   0.787704868 -1.903729e+00 -0.1872196249  1.551231225
1035   1.518340253   0.652469152 -2.358229e+00 -0.7282085214  1.224354357
1036   3.051901887   0.402992272 -2.278982e+00 -0.9628196729  0.966791945
1037   1.907113307   1.204095864 -1.289996e+00 -0.4283397035  1.352061252
1038   0.147037032   0.090282783 -1.595197e+00  0.6832487210 -0.183174303
1039   4.516207633   1.501098605 -9.354420e-01 -5.0026757904 -4.868007035
1040   3.424648857   1.150871045 -2.625830e+00 -4.2654394537 -6.382278674
1041   3.202415756   1.242761320 -1.496399e+00 -4.4668053029 -6.107815512
1042   3.439814239   1.420060725 -1.353940e+00 -3.9665864974 -6.080780725
1043   3.044254106   2.388958870  4.542375e-01 -4.7008157781 -5.372963423
1044   3.706522550   1.095117113 -1.650567e+00 -4.4798229706 -5.513096871
1045   0.306420594   0.270981894 -5.894653e-01  1.3969433026  0.169969120
1046   3.510814889   1.283613553 -2.154831e+00 -4.5418993038 -5.785916132
1047   4.566451774   0.843257961 -2.321667e+00 -5.1942013837 -4.786288652
1048   3.581082337   1.070818251 -1.779039e+00 -4.2902559693 -5.710222136
1049   3.441040774   1.592276509 -1.901079e+00 -5.2757231254 -5.170843895
1050   4.421169033   0.285211700 -2.087703e+00 -4.1752767084 -5.334978516
1051   4.542399341   1.211194391 -1.100224e+00 -4.3510191874 -5.230975858
1052   4.947897978   1.535797873 -1.648970e+00 -4.6007231781 -4.291452234
1053   6.195159024   0.813391197 -1.901260e+00 -3.3131126585 -4.665614043
1054   4.564963855   1.611704743 -2.383274e-01 -4.8018355056 -4.890467393
1055   5.622009380   1.234462996 -1.578276e+00 -4.1065639659 -5.013506367
1056   4.093400189   1.005507373 -2.049758e+00 -4.0577592253 -5.887172084
1057   4.025634582   0.331903570 -3.109066e+00 -4.4097722373 -6.059308942
1058   3.997241315   1.020914729 -1.783248e+00 -4.0221810597 -5.669533399
1059   4.225643962   1.775327454 -1.325467e+00 -4.6359901991 -4.758925471
1060   3.648740480   1.846917358 -7.781330e-01 -4.2521991600 -5.313634295
1061   4.283346343   0.582576813 -1.965074e+00 -4.0719671773 -5.690659540
1062   4.787862339   0.276088052 -2.727671e+00 -4.6517105468 -4.890916790
1063   3.549816063   2.266491241  2.381948e-01 -4.4464017192 -5.615826133
1064   3.261818445   2.243431207  2.778627e-01 -4.5571027423 -5.407887428
1065   3.955304006   2.179441042  7.546826e-01 -4.2557611919 -5.377474068
1066   4.752555381   1.648080967  3.823987e-01 -4.1375756068 -4.661993227
1067   4.681389190   1.956180559  5.153414e-01 -4.3534994176 -5.321249830
1068   4.686243188   2.187524199  5.969736e-01 -4.3478938363 -4.653365508
1069  -0.091160034   1.300338810  4.098215e-01 -0.1598263053  0.626159608
1070   3.273280939   2.053380908 -2.192541e-01 -4.6289836700 -5.183028069
1071   4.252018093   1.952596034  5.439873e-01 -4.3074591212 -5.139712373
1072   1.102386657   1.304313010  8.685380e-01 -0.5857996308  0.909731528
1073   1.152891885   1.204950422  1.162411e-01 -0.9482889341  1.020041604
1074   4.982134201   1.856394733  8.367726e-01 -4.1895937254 -4.381313263
1075   4.134981915   1.944716020 -3.247543e-01 -5.1233583084 -4.346462577
1076   4.292966194   2.585345391  3.831142e-01 -5.7245259796 -3.622831737
1077   2.218039082   0.261476093  6.887806e-01  0.0863606656  0.133715275
1078   4.707153736   2.300566623 -2.718424e-01 -5.2694588622 -3.760191388
1079   1.883883061   1.592849655  6.049040e-01 -1.4788916537  1.702819981
1080   2.561086371   1.412611746  2.214345e-01 -1.7252791461  1.850314013
1081   4.365138782   2.550487404  4.047173e-01 -5.8476957612 -3.217471488
1082   3.729351548   2.261354408  8.972121e-01 -4.5551968704 -4.930009662
1083   1.066976217   1.449138328  5.022330e-01 -0.4425036961  0.929122248
1084   4.853177467   1.376296251  1.171949e+00 -5.3739988900 -3.303757671
1085   4.480503272   2.566204231  1.853108e-01 -5.5239066778 -4.018664798
1086   3.822218941   2.622706870  9.384191e-02 -5.7392175595 -4.086216904
1087   4.637549582   2.564218523  2.264644e-02 -6.2998578815 -3.153907112
1088   5.310867735   1.996295611  7.707883e-01 -3.9869731579 -4.782928190
1089   4.661768782   2.439809004  2.501616e-01 -5.6219260421 -3.588268198
1090   5.208342623   0.069804036  6.020847e-01 -4.8909321066 -4.772732830
1091   6.121297080   2.029296727  7.102613e-01 -4.8505048573 -3.189535999
1092   5.092289118   1.750083370 -2.074510e-02 -5.0644996517 -3.624534010
1093   5.322483661   2.061508180  1.369902e+00 -4.1002214167 -4.017467184
1094   2.718833274   0.990683407  1.429373e-01 -1.3833155451  1.741656299
1095   6.109472844   2.067448622  8.172604e-01 -4.5180489451 -2.546181732
1096   6.532909241   1.684885288  7.609286e-01 -4.4628575122 -2.219027642
1097   0.867314941   1.423838593  8.698293e-01  0.8675499881  0.222422621
1098   3.179504991   1.875676877  1.902667e-01 -4.2063292666 -5.681968889
1099   4.255807848   2.160506926  1.923669e-01 -4.4571794557 -4.691695232
1100   2.599810484   1.157101445 -9.207195e-02 -0.9871209627  1.592936156
1101   1.257484121   1.090497826  3.925732e-02  0.7529343012  0.498030733
1102   4.794551400   2.068011645  6.993762e-01 -4.0551408241 -4.234079550
1103   0.440646669   0.837739278  4.277540e-01 -0.8606164988  1.812724372
1104  -0.108932030   1.524877405  1.268317e-01  1.0824421647  0.573508185
1105   2.963569866   2.437241860  2.941036e-01 -3.8785777924 -6.037300724
1106  -0.599383806   1.487291725  4.730433e-02  0.7784141990  1.308549473
1107   0.114511536   1.593874831  2.901373e-01  0.5748839911  1.217039318
1108   0.399266246   1.936458284 -8.082926e-02  0.5394462344  1.343773066
1109   1.239703454   2.104904794 -2.340562e-01 -1.3805672523  2.569954458
1110   1.286501832   1.662165351  2.417364e-01 -0.9471480128  2.075581547
1111   1.847150919   2.446063920  2.200795e-01 -1.3952145658  2.948034525
1112   1.118270513   1.742644066 -4.704043e-01 -1.5978876587  2.718178102
1113   0.041869562   1.661484674 -2.370152e-01  0.2348086510  1.152264706
1114   1.169860272   1.928907567  3.036514e-01 -1.5783977921  2.942400163
1115   0.555280738   1.840103834  3.634193e-01 -0.8289218179  2.468162102
1116   0.925023079   2.047878925  1.717272e-01 -1.7995442990  2.730114718
1117   0.737592554   1.437953008  4.090727e-01 -2.6911192680  3.320175695
1118   4.350130928   3.095811201  1.940991e-01 -5.3942998865 -3.302518557
1119   0.910224255   2.314707946  2.999014e-01 -1.8474121292  3.335955537
1120   1.417609940   1.617562591  2.544138e-01 -2.0249197642  2.529002643
1121   0.702969193   2.068461506 -2.403441e-01 -1.7837501186  3.123597251
1122   1.513359785   2.007853864 -1.462222e-02 -2.1465873444  3.606858385
1123   1.465939452   2.218899168  2.607092e-01 -1.4022021622  2.197053041
1124   1.603977722   2.328126927  2.510869e-01 -2.5052419889  3.788780493
1125   1.127207590   2.273283572  5.367095e-01 -1.6212825623  2.886033362
1126   1.224976320   2.261531316  1.452847e-02 -2.3035971365  2.811841605
1127   0.790803419   1.844423860  3.235820e-02 -1.6346374300  2.351131030
1128   0.905672625   1.956433717  6.321509e-02 -1.4603838995  2.483538713
1129   1.294001148   1.668101670 -1.055931e+00 -1.1266899138  1.897194776
1130   1.475549443   2.252048539  6.031689e-02 -2.2183372312  3.170636819
1131   0.826093757   2.069490122  9.177984e-02 -1.9819732194  2.971935936
1132   1.218085852   1.962950041  1.064609e-01 -1.0644373573  2.233276831
1133   1.588242949   2.068162447  1.665301e-01 -1.2194692881  2.476050341
1134   0.886031813   2.232058759  3.643658e-01 -1.8563893407  2.756521979
1135   3.187829684   2.235308174 -3.796404e-01 -3.3287654365  3.545203906
1136   4.875180189   3.137010665 -8.718250e-02 -6.8302531409 -1.121080756
1137   2.166729689   2.347026379  8.663153e-02 -2.7747623091  3.232266445
1138   5.280418342   3.227432936  2.604775e-01 -5.6915372227 -1.647719305
1139   5.382511445   3.193735130  3.087859e-01 -4.8442069615 -2.489106679
1140   5.469164974   3.578986308  4.309725e-01 -6.0080077455 -1.187351238
1141   5.465657455   3.317240924 -2.337205e-01 -5.4758255627 -2.029894786
1142   5.129290225   3.048055204  2.750136e-01 -6.1619816085 -1.848197605
1143   5.382687515   2.859721192 -7.311883e-01 -5.7917301495 -1.801066725
1144   4.102574342   3.217319717  5.137080e-01 -5.8333211220 -2.828646977
1145   4.593813893   2.887065060 -3.041460e-01 -6.1934157580 -2.157797635
1146   5.936716900   3.723592069 -3.713986e-02 -7.6954858226  0.054459834
1147   4.787152776   3.091060649  2.550511e-01 -6.0752676818 -1.979467166
1148   1.186832789   2.057959007  1.660306e-02 -2.0712456476  3.168659664
1149   4.052963874   2.567057374 -6.151669e-02 -6.1534059232 -2.616737558
1150   4.170616315   2.998849075 -3.989499e-01 -5.8520966644 -2.805062869
1151   1.093482856   2.092752278 -2.547461e-01 -1.9237946927  2.729345559
1152   5.801498777   3.256273644  2.518721e-01 -5.9941232516 -1.213972309
1153   4.596458329   3.048402359 -1.527156e-01 -5.4900472985 -2.586928153
1154   0.846974645   2.049164938  3.769277e-01 -1.5712663323  2.852515787
1155   5.591783170   3.437825498 -2.072347e-01 -6.5437586880 -1.005878808
1156   3.689083705   2.740118553  1.158656e-01 -5.9013247443 -2.482761767
1157   5.651281858   3.573639110 -6.845758e-02 -6.7590305890 -0.603090055
1158   4.901733821   3.274558667  8.350361e-02 -6.0521162791 -1.810131040
1159   4.810641931   3.482325020  1.885972e-01 -6.9604198532 -1.224125708
1160   5.325138815   3.174580503 -2.183069e-01 -5.8112043152 -1.797336423
1161   5.589987579   3.330647314 -9.827851e-02 -7.8718661107  0.054687843
1162   5.202015564   3.254278483 -1.415062e-01 -6.9066826734 -1.346871208
1163  -0.503871232   1.208071190  5.306601e-01  0.1936999067  0.639762357
1164  -0.044358966   0.768653322  4.473964e-01  0.2568155427  0.716419973
1165  -0.151260436   1.330322931 -2.565579e-02  0.0487197024  0.298408718
1166   0.348668515   1.366962031  2.894250e-01 -0.2845293725  1.012275204
1167   1.582580763   1.531131498  7.110688e-02 -0.7653959594  1.102289253
1168   1.257127015   1.376677731  8.941967e-02 -0.6583122525  0.764989809
1169   0.411970967   1.602640559  7.555277e-01 -0.3645362282  0.996290924
1170  -0.211933911   1.174266519  5.248669e-01  0.3535615533  0.362985104
1171   2.076041568   1.953995972  9.143766e-01 -0.6728983786  1.084108471
1172  -0.258916492   1.208345438  5.247326e-01  0.6439315188  0.388172127
1173   1.814802203   2.037119973  3.478844e-01 -0.1793210104  0.857523978
1174   1.036562664   1.445391480  7.186321e-01 -0.7562581629  1.338179588
1175   1.420325834   1.281719766 -2.633475e-01 -1.1625017399  1.458831225
1176   1.767110264   1.777085885 -8.766252e-02 -1.3621783656  1.587226084
1177   1.520007791   1.989394035  2.510831e-01 -0.9293919458  1.247441947
1178   0.957268035   1.546617686  6.755896e-02 -1.4644084738  1.659758467
1179   1.699662591   1.639926577  5.456498e-01 -1.8205575941  2.726578915
1180   4.210259885   2.855612406 -1.516824e-01 -5.3809990687 -3.565005381
1181   2.172611828   2.103824299  4.976728e-01 -1.2480064358  1.403048224
1182   1.167902143   1.121994221  7.992308e-01 -0.7569773582  0.995139457
1183   1.532505210   1.388236286  8.480651e-01 -0.7470217303  1.035183457
1184   1.113697576   0.911575213 -3.767983e-02 -0.1606382037  0.845976917
1185   0.666618988   0.833737391  8.102370e-01 -0.9900999871  1.345168528
1186   1.839794322   2.081044419  4.062652e-01 -1.1784095882  1.408981804
1187   1.494643354   1.358894758 -3.184157e-01 -1.4050189739  1.447207141
1188   1.726254885   1.529628302  2.381142e-01 -0.5650578602  1.041173026
1189   4.530739904   2.427805579 -8.721596e-02 -5.2585437499 -3.101034436
1190   4.715917295   2.471477704  2.209673e-01 -5.3715519615 -2.657312204
1191   1.773521798   1.738468276 -3.775968e-02 -1.8883323698  2.621958954
1192   4.735887011   3.067462442  1.397865e-01 -4.7077380459 -2.969919505
1193   1.943907170   1.904521368  4.683432e-01 -1.4447133879  1.892511000
1194   4.851124401   3.158263457  3.535588e-01 -5.2403623375 -2.589809979
1195   4.157262011   2.815057672  1.418990e-01 -5.5346724369 -3.042146087
1196   4.421685581   2.792949702  3.362020e-01 -5.3383557859 -3.099456398
1197   2.184828789   1.931664040 -1.549945e-01 -0.6482319355  1.818191254
1198   1.601918601   1.569349100  2.989263e-01 -1.2267918467  1.150815949
1199   5.115477662   2.931010768  3.642340e-01 -6.1978378568 -1.769940318
1200   4.716814672   2.897379620  1.977793e-01 -4.8699063162 -3.010756032
1201   4.027631220   2.784490571  3.066826e-01 -5.5931428758 -3.475277381
1202   4.795492150   3.142457760  4.666363e-01 -5.4117242139 -2.786115917
1203   4.703637873   2.806193588 -2.966750e-02 -5.5941519510 -2.426035503
1204   4.382187490   2.570718864  5.275527e-01 -5.1664886000 -3.109456043
1205   4.346809857   2.530661365  5.482209e-01 -5.7963190634 -3.007166449
1206   1.413225917   1.512639209 -1.047190e-01 -1.7319704498  1.301900698
1207   4.301826669   3.002175603 -9.369952e-02 -5.0982147640 -3.619503502
1208   4.105826788   2.258540906  1.943545e-01 -5.7407721081 -3.252568217
1209   4.158897638   2.667372504 -1.794565e-01 -5.8463564096 -3.076961109
1210   4.934521290   2.525735551  2.819909e-01 -5.5973212444 -2.299207856
1211   1.424061611   1.759049037  2.244330e-01 -1.9567888185  1.808584106
1212   4.303303813   2.086287557 -7.668231e-02 -5.5419292355 -3.255743176
1213   4.072584818   2.939651145  2.329711e-01 -6.0352640805 -2.994122657
1214   1.956205955   1.525025259  7.248189e-01 -1.2851911284  1.584650978
1215   4.715577912   3.056948779  6.124351e-02 -5.0841387574 -3.110874158
1216   3.886039206   2.307308821  1.948368e-01 -5.2427468367 -3.713465632
1217   0.191349922   1.090185818  1.336048e-01  0.0255320678  1.039413856
1218   0.265134660   1.695613789  3.378238e+00 -0.8966934172  0.478801412
1219  -8.956071495  -2.061839235  1.660256e+00 -3.1161388590 -0.737522999
1220  -9.617808425  -0.419052007  9.001309e-01 -3.5774313144 -0.904632146
1221  -9.357679750  -1.445249502  1.241237e+00 -3.3968812230 -0.463592273
1222 -10.067635464  -0.298310952 -1.432523e-01 -3.0613694249 -1.311070370
1223 -10.084293347   0.062693907  3.086410e-01 -3.8141430719 -0.675774321
1224  -9.283722863   0.045884540  8.357231e-01 -3.3103475251 -0.261316000
1225  -9.315363584   0.095593352  1.108658e-01 -2.6506936021 -1.455139275
1226  -9.937783024  -0.123026672  5.172513e-01 -4.3979290203 -0.131687904
1227  -9.961576251   0.249623105  1.425479e-01 -4.0541517246 -0.444533059
1228 -10.222020604   0.037603695 -1.954215e-01 -3.4357941183 -1.089908559
1229  -9.040071891  -0.170234127  6.000903e-01 -3.2477202861 -0.268733004
1230  -9.712103489   0.377812248  1.372858e-01 -4.0817904016 -0.326794608
1231  -9.554251161   0.767123192 -1.284403e-01 -3.0119750456 -0.905237911
1232  -9.698947670  -0.656519663  1.092570e+00 -3.6913288489 -0.213591786
1233  -9.249721059  -3.204774997  1.706807e+00 -4.5316376129  0.500889987
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1235  -9.209179993  -2.375393925  1.582807e+00 -4.0536796131  0.181077478
1236 -10.416027917   0.834173161 -6.822604e-01 -4.1944831670 -0.643211892
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1238 -10.894124687   0.674819003 -3.223275e-01 -4.8452304739 -0.342615437
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1240 -10.564973940  -0.321116663  3.385809e-01 -4.1467807311 -0.881813123
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1242 -10.399946693  -0.775232499  8.533399e-01 -3.9639191562 -0.672711930
1243  -9.411514588  -0.983496287  1.096793e+00 -3.0248953582 -0.739839786
1244  -9.796164247  -0.608736738  7.784137e-01 -3.1456869044 -0.822268584
1245 -10.041339347  -1.198782257  8.671001e-01 -4.3185737372 -0.267948767
1246 -10.351983334   0.303194449  2.752604e-01 -4.2733864730 -0.406309288
1247 -10.619107710   0.043085108  2.755138e-01 -4.6152240138 -0.407375061
1248 -10.389647779   0.267398775  2.263566e-01 -3.6903162305 -1.160341736
1249 -10.461382484   0.053432118  5.870242e-01 -4.0637222696 -0.629915992
1250  -9.557860958   0.183933825  2.821949e-01 -3.5086780308 -0.575209321
1251 -10.090515171  -0.488422437  6.316471e-01 -4.5932306730 -0.269145517
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1253  -9.249063541  -1.712025771  1.687164e+00 -4.1886484801  0.580641927
1254  -9.369735750  -1.934844543  9.609310e-01 -4.2913650343  0.131689319
1255  -9.053740200  -1.061464617  8.771326e-01 -3.0705526131 -0.412886079
1256  -9.624607203  -0.409285289  6.583765e-01 -3.9989435143 -0.510952171
1257  -9.151414978  -2.472468481  1.209831e+00 -4.1655897497  0.355888271
1258  -9.852581769   0.379031254  1.744205e-01 -2.6016655541 -1.228645738
1259  -9.259645086  -2.924331430  1.564778e+00 -4.2734718598  0.153646208
1260 -10.051281909  -0.115379750  9.072594e-02 -3.7228906953 -0.684171986
1261  -9.467050010  -1.021013226  1.037156e+00 -3.1372086116 -0.410120615
1262 -10.169556580  -0.367739676 -6.439269e-03 -3.5175161467 -0.853534689
1263 -10.361116567   0.589093000 -1.990812e-01 -4.1308816322 -0.658230946
1264  -9.615331285  -1.669970915  1.161073e+00 -4.3169389719  0.130817543
1265  -9.668382037  -2.133231704  3.301269e-01 -3.7912779484 -0.742298309
1266  -9.497166646   0.329221970  1.882605e-01 -2.9393500803 -1.107042628
1267  -9.064255057  -1.901407047  1.503076e+00 -3.8783459816  0.171193898
1268  -9.473249028  -2.384400924  1.605631e+00 -4.0548936888 -0.119617855
1269  -9.764717447   0.821055136 -2.383893e-01 -3.3370116878 -0.745493735
1270  -9.424830988  -2.108684625  1.470996e+00 -4.7777600926  0.444637862
1271  -9.680902336  -0.750679435  6.379076e-01 -4.2024932661 -0.172171307
1272  -8.981874152  -3.295577938  2.351599e+00 -4.3106113395  0.677295898
1273  -9.630601521   0.666464551  4.019112e-01 -2.5306037700 -1.209281049
1274 -10.148430470  -0.842119339  4.454178e-01 -3.7859464562 -0.610920508
1275  -9.650773514  -0.678993228  8.342000e-02 -3.3783556143 -0.687715433
1276  -9.670801871   0.188652807  6.100442e-01 -3.1946016419 -0.796418090
1277  -9.058390079  -2.726233847  1.837224e+00 -4.1935581694  0.460087987
1278  -9.969306841  -0.189319626  3.949666e-01 -3.6379191381 -0.367058440
1279  -9.840436495  -0.813972906  3.997140e-01 -3.2577691752 -0.574209629
1280 -10.138767196   0.461860834 -2.293084e-03 -3.0319329637 -1.072985240
1281 -10.190141327   0.290010122 -3.753954e-01 -3.1120413279 -1.307521552
1282  -9.592575602  -1.381143885 -1.853040e+00 -3.2581548801 -1.347646329
1283  -9.190579376  -2.956790334 -1.165366e-01 -4.4904056366 -0.019149284
1284 -10.487257319  -2.581573208 -2.071152e+00 -5.3131980332 -0.447794130
1285  -9.493881236  -2.404043453 -1.634184e+00 -4.1115922566 -0.652160804
1286  -9.149388680  -3.535090510 -1.017940e+00 -3.7895815691 -0.897598018
1287 -10.357429668  -0.056462930  2.114190e-01 -3.9465525765 -0.744120910
1288  -9.419209580  -1.708129536 -1.683048e+00 -3.9216488909 -0.586292029
1289  -8.341107406  -2.964596531 -1.251869e-01 -3.0599294739 -0.682749086
1290  -9.451662973  -1.388468565 -1.868418e+00 -3.2211281927 -1.160798214
1291  -9.915841940  -2.177861046 -1.003906e+00 -4.3507925628 -0.672511882
1292  -9.824016408  -0.863463282 -1.976932e+00 -3.7548701944 -0.929263678
1293  -9.852815424  -1.734129454 -2.295501e+00 -3.7236026765 -1.143041130
1294  -9.828533493  -0.894869777 -2.380887e+00 -3.4716505551 -1.366535493
1295  -8.537604709  -2.368432813 -2.149923e-01 -3.4487459085 -0.543671414
1296  -0.966139254  -1.403328754 -1.231297e+00  1.0054872103 -1.010178238
1297   0.082349193  -1.050749082 -6.316897e-01  0.2272879926 -0.196920930
1298  -0.188890565   0.270211949  5.940949e-01  1.0129435646 -0.421702739
1299   0.853389460  -1.369506189 -8.015460e-01  0.1996044417 -0.279761267
1300   1.329036016  -0.795702307 -4.550878e-01  0.2902558362 -0.193715051
1301   2.240037296  -2.260496050 -1.091828e+00 -0.3178635460  0.655972564
1302   1.300690867  -1.089828848 -2.331141e+00 -0.5600906824  0.306871027
1303   1.547452211  -0.688027973 -8.556299e-01 -0.5761603413  0.515374663
1304   2.742254162  -0.493666987 -1.432910e+00 -0.5235975459  0.390600841
1305   1.240858614  -1.613183607 -4.183641e-02 -0.1800402041  0.179740221
1306   1.783999759  -0.927705561 -8.380526e-01 -0.1939536776  0.399201228
1307   1.570148752  -0.440506933 -6.811533e-01 -0.3055505157  0.364538629
1308   1.925904821   0.394307074 -3.372861e-01 -0.0945116550  0.424412515
1309   2.042755410  -0.251944437  1.265117e+00 -1.2966364952  1.005599914
1310   1.356065640   0.250366011  1.273112e-01 -0.1628781142  0.197926945
1311   1.864193405  -0.353095056 -1.222177e+00 -0.7118314005  0.454818756
1312   1.118088666  -0.694985173 -1.781989e+00 -0.1638531031  0.108153793
1313   0.625656228  -0.731374593 -1.378823e+00  0.0462453310 -0.086547953
1314   1.589482966  -0.321841094 -8.272189e-01 -0.6063388313  0.396247794
1315   1.203483649  -0.954788106 -1.061169e+00  0.1085878453 -0.039797768
1316   2.313685749  -0.323032577 -1.101707e+00 -0.8348220260  0.858750413
1317   1.208965946   0.479325381 -2.896352e-01  0.5530203684  0.308716127
1318   1.338024045  -1.890702430 -1.040845e+00  0.4558379246 -0.297095603
1319   1.436123256   0.364644755 -4.254496e-02  0.3440037279  0.471494481
1320   1.165957996   0.543946790  5.773361e-01  0.2208547692  0.604982674
1321   2.016121789  -2.100377815 -4.939502e+00 -0.3848641127  0.676719988
1322   2.329081957  -1.526409497 -3.622081e+00 -0.7707075119  0.853067595
1323   2.058556444  -1.998652049 -6.179692e-01 -1.5055634222  0.831208576
1324   1.963806857  -0.020470100 -7.177666e-01 -0.4833618959  0.603833872
1325   2.151718574  -1.912055267  2.875257e-01 -1.3289806755  1.199467870
1326   1.547834726  -2.191638412 -3.645972e+00  0.2050297133  0.531636578
1327   1.454259785  -2.973893414 -2.791879e+00 -0.2225278700  0.997330741
1328   1.814540519  -2.994347531 -4.201269e+00 -0.0662366585  0.483757547
1329   1.727893167  -0.525519710 -6.696255e-01 -0.4389424353  0.570647166
1330   1.741051409   0.056267285  2.391522e-02  0.1102857817  0.691767119
1331   1.899140166   0.386695007  2.417240e-01 -0.3309031346  0.338421851
1332   1.786157535  -0.834982947  3.386913e-01 -0.8579761630  1.196165363
1333   2.272573683  -2.579502375 -3.758324e+00 -0.1400727642  0.597197602
1334   1.990973905  -0.368380639  5.482880e-02 -0.5597741250  0.904469517
1335   1.947963977  -2.129906174 -7.245997e-01 -0.8996487616  1.113051409
1336   1.735407121  -1.459337571  6.207071e-02  0.4741177495  0.301130880
1337   1.731490831  -1.047865081 -3.837749e-01 -0.3415391827  0.322266847
1338   2.121733187  -1.323733677 -3.485046e+00  0.1872306754  0.521322189
1339   1.780106018  -0.945582743 -6.450643e-02 -0.9867080841  0.968971628
1340   1.894370879  -0.020875765  3.747155e-02 -0.7131874607  1.151924183
1341   2.150433895   0.254877565  3.900702e-01 -0.4617458404  0.709646844
1342   2.198314744   0.428585760  8.325999e-01 -0.4020350538  0.616605770
1343   1.563278272  -0.566847726  7.897825e-01  0.4288893852  0.132554535
1344   1.829481763  -1.175672311  1.906200e-01  0.9614737860 -0.389203319
1345   1.578579844  -0.661165308 -5.770065e-01  0.2385941196  0.164473978
1346   1.359118136  -1.288276800 -3.459230e-01  0.6663646422 -0.374343469
1347   1.162982214  -1.101508319  1.581589e-01  0.2322281745  0.104587362
1348   1.819015946  -0.384621471  4.722472e-01 -0.0704980988  0.186507379
1349   1.955423129  -0.205241866  3.264898e-01  0.1796545407  0.288606148
1350   0.702533232  -0.094117345  4.421041e-01  0.1715683224  0.114755871
1351   0.942754835  -0.461043457 -6.069861e-01 -0.0195214929  0.154019142
1352   1.958863922  -0.401146987  2.838352e-01  0.4105487309  0.226506106
1353   1.754562668   0.052933728  9.305764e-01  0.1291901929  0.206435487
1354   0.927805274  -0.525186132  9.607411e-01  0.8634288168 -0.378395838
1355   1.666849770  -0.747468119 -5.097154e-01 -0.4249814382  0.376195721
1356   1.530798037  -0.602224823 -1.005572e-01  0.0795077687  0.369843665
1357   1.467236253  -0.459599669  5.623767e-02  0.3129188967  0.098893942
1358  -4.037840578   0.757568476 -1.222595e+00 -0.7073988468  0.112528800
1359  -2.621726090   1.239589022 -1.146084e+00 -0.4202557745  0.012607929
1360  -2.823216232   0.388089433 -2.452957e+00 -1.1255952416 -0.141562340
1361  -2.651824276   1.470033434 -3.614649e-01 -0.4535888480  0.062251654
1362  -3.183841826   1.864280635 -1.745616e-02 -0.9499314066  0.346367519
1363  -3.319415324   1.698502648 -3.181786e-02 -0.5161851790  0.441672036
1364  -3.058256270   0.560905676 -2.104739e+00 -0.9839757552 -0.033198722
1365  -2.535874880   1.891505685 -3.111220e-01 -1.3176717910  0.988940716
1366  -3.289163785   1.524969547 -4.827431e-01 -0.8249412287  0.441549036
1367  -2.851865430   1.004842012 -1.738219e+00 -1.2023917025  0.385998993
1368  -2.477255004   1.963317791  3.484655e-02 -0.8996266589  0.645899871
1369  -2.957941429   1.252206314 -6.469635e-01 -0.8185968061  0.254046514
1370  -3.143755224   0.732554373 -1.971784e+00 -1.7002069624  0.531433754
1371  -3.592285011   0.678411208 -1.035520e+00 -0.9107876175  0.193516695
1372  -4.090242407   1.197757791 -6.975044e-01 -0.2739754777 -0.266078465
1373  -3.779423110   1.119550494 -5.128293e-01 -1.3298154604  0.551321901
1374  -3.140053820   1.527174112 -4.028553e-01 -0.6522792254  0.478647409
1375  -3.621559701   1.452913470 -1.872327e-01 -1.0791087388  0.078500205
1376  -3.496036020   1.569326688  4.025983e-01 -0.7768956802 -0.020948503
1377  -2.914254760   0.701639721 -2.002235e+00 -0.8050548590  0.191404960
1378  -4.077533889   0.307317659 -2.003275e+00 -0.9319924370 -0.181027717
1379  -3.245785731   0.782375399 -1.320944e+00 -1.0918403755 -0.030526893
1380  -2.734336227   1.579278935 -6.766767e-01 -1.5743148974  0.699822431
1381  -3.447019034   0.370061365 -2.477550e+00 -1.4115075379  0.513351226
1382  -2.498699549   1.382852594 -1.315941e+00 -1.1502040229  0.675432955
1383  -3.165571418   0.894709855 -1.959053e+00 -1.5842662529  0.715930021
1384  -2.541707991   1.756388209 -6.511347e-01 -0.8007077584  1.005399750
1385  -2.752754660   1.181246040 -1.208931e+00 -0.9365016471  0.601220996
1386  -2.474417071   1.083881927 -1.571645e+00 -0.9813585767  0.330587631
1387  -2.421606664   1.894182449 -2.992081e-01 -1.5429526559  1.098152659
1388  -3.005268332   1.731120912 -4.887180e-01 -1.5018012058  0.693160400
1389  -2.877950728   1.010689038 -1.711675e+00 -0.4089337683 -0.074587258
1390  -3.502130520   1.145081375 -8.133867e-01 -0.6874819053  0.380452602
1391  -3.264345995   1.328468776 -1.056389e+00 -0.7205641529  0.428272195
1392  -2.397323570   0.952923315 -1.716354e+00 -0.8697700284  0.460384762
1393  -2.620631318   2.204587729  8.355969e-03 -0.8230143685  0.665091564
1394  -2.537785317   0.872739313 -1.742012e+00 -0.9628108143  0.523620219
1395  -2.167515596   1.999911039 -2.774233e-01 -1.5196879596  1.079332908
1396  -3.092755372   1.846211208 -4.382699e-02 -0.9916256987  0.677858174
1397  -3.286658054   1.490067859 -3.260036e-01 -0.5207912508  0.874032718
1398  -2.248982191   1.850097020  1.064722e-02 -1.2336452796  0.679899541
1399  -3.255426370   1.659546034 -1.146770e-01 -0.6153840499  0.436647914
1400  -3.142028202   1.216749469 -1.189913e+00 -0.9360417271  0.570722500
1401  -3.446681885   0.425704354 -1.576521e+00 -1.3605940540  0.464450202
1402  -2.360594516   1.689762331 -5.665332e-01 -1.0446675271  0.724638552
1403  -3.059833189   0.842875820 -1.680027e+00 -1.3262270119  0.551634662
1404  -3.738400397   0.693676635 -1.514720e+00 -0.9478283428  0.238645347
1405  -3.247683092   0.895536130 -1.274765e+00 -1.2169346246  0.272748200
1406  -3.240819969   1.500721297 -3.317149e-01 -1.1737238739  0.557126522
1407  -3.467058278   0.955917812 -1.403563e+00 -0.9558939196  0.434476745
1408  -3.314897208   1.646186648  2.904889e-01 -0.8563215845  0.390859095
1409  -2.485164123   1.722118860 -2.867499e-01 -1.6474230935  0.815094695
1410  -3.140075234   2.008699132  4.861910e-02 -0.9545956899  0.669472214
1411  -3.259119785   1.357037565 -7.884876e-01 -0.9406331390  0.417290360
1412  -3.283929824   1.244183552 -2.208604e-01 -0.8108867893  0.262103230
1413  -3.167792414   1.699450978 -4.312603e-01 -0.6685007314  0.108646549
1414  -3.191903026   1.248938471 -1.100022e+00 -1.0261089387  0.305024574
1415  -3.068349547   1.647383617 -2.309457e-01 -1.2749918110  0.658551858
1416  -2.875441858   1.595993988 -5.450742e-01 -0.9633642496  0.457711612
1417  -2.858282267   2.032747683  1.768096e-01 -1.2354848740  0.652228407
1418  -2.631579945   1.857124444  1.696417e-02 -0.9091979679  0.429656421
1419  -2.597824872   1.763210594 -3.179561e-01 -0.9719886894  0.333929286
1420  -2.412961181   1.623516343 -3.694962e-01 -1.0184844865  0.341419253
1421  -2.739280432   0.350950205 -2.677624e+00 -1.6863030445  0.006725791
1422  -2.738959480   1.356541137 -7.421738e-01 -0.9142221562  0.184813075
1423  -3.597739193   0.855395309 -1.289064e+00 -1.1662222234  0.184795574
1424  -4.541928729   0.808747090 -1.236802e+00  0.0389364479 -1.001546537
1425  -4.539433626   0.630979998 -1.872694e+00 -0.4194326536 -0.836362627
1426  -5.185582425   0.545501370 -1.035533e+00 -0.8169321052 -0.551719969
1427  -4.711666724   1.042217724 -1.095802e+00 -0.0530657239 -0.674627887
1428  -4.541797086   0.861488204 -1.056202e+00 -0.0531920308 -0.699943638
1429  -4.639050169   1.176929884 -3.479970e-01 -0.2855112032 -0.792265010
1430  -4.929509050   0.863709884 -7.327833e-01  0.2693323365 -1.012062320
1431  -4.260918527   1.316686353 -1.078126e-01 -0.7391869584 -0.205595947
1432  -4.688912780   1.418445610 -3.013291e-01 -0.9319122168 -0.079656447
1433  -5.055414484   1.148430390 -1.290038e-01 -0.0096750106 -0.592361009
1434  -4.638701634   1.401515076 -6.275718e-01 -0.4879310332 -0.470790301
1435  -4.921483926   1.166269593 -3.499276e-01 -0.7395381596 -0.244854992
1436  -4.921323975   0.835485480 -8.043300e-01 -0.8213803675 -0.170391852
1437  -4.908783864   1.114460074 -1.017338e+00 -0.3091862865 -0.324192414
1438  -4.950813553   1.438820648 -2.483575e-01  0.2631905698 -0.486634859
1439  -5.024637485   1.423544237 -2.328597e-01  0.1296873833 -0.463301394
1440  -5.031733260   0.383106422 -8.405316e-01 -1.2883381697 -0.299433534
1441  -5.139948966   0.213540262 -1.528107e+00 -0.7083798982 -0.754181373
1442  -5.114127694   1.343423771 -3.942116e-01 -0.6637814597 -0.504891105
1443  -5.069501852   0.898479436 -6.901212e-01 -0.5612321496 -0.429068637
1444  -4.998479620   1.174050291 -5.485729e-01 -0.4682055549 -0.619819385
1445  -4.529563316  -0.075610925 -2.781476e+00 -0.9636978482 -0.483182522
1446  -4.825063784   0.694229826 -9.586408e-01 -0.7621839689 -0.671071036
1447  -5.424832403   0.512682783 -1.461621e+00 -1.0648511846 -0.531363243
1448  -5.151616046  -0.745156771 -3.689273e+00 -1.2383859191 -0.326168597
1449  -5.159983604   1.157066845 -2.476872e-01 -0.6448581517 -0.191549121
1450  -5.148794861   1.162290713 -4.228221e-01 -0.7553083270 -0.180734201
1451  -5.262819355   0.613995139 -8.317902e-01 -0.8548934083 -0.417893216
1452  -5.223897796   1.090742150 -8.918729e-01 -0.8882576051 -0.302595885
1453  -4.731964916   1.004157697  1.988950e-01 -1.0340261784 -0.032418199
1454  -4.735204048   1.204738106 -5.388911e-01 -0.6987950869 -0.256477883
1455  -4.637723613  -1.933271949 -4.937330e+00 -0.9052695406  0.081863371
1456  -5.409990668   0.601589726 -8.105658e-02 -0.4778051537 -0.435317821
1457  -5.186519770   0.991282156 -2.638502e-01 -0.0534898116 -0.799745505
1458  -5.479873858   1.052278793 -9.304399e-01 -0.0105417088 -0.764163349
1459  -5.016052417   0.008318728  2.072065e-01 -0.7331548041 -0.346559768
1460  -4.986539712   1.233340010 -4.723388e-01 -0.7646021608 -0.408004490
1461  -4.528615754   1.376531104 -2.523569e-01 -0.2894891776 -0.140623092
1462  -4.655337787   1.468754940 -3.800165e-01 -0.7659529611  0.064353580
1463  -5.108602724   1.387887307 -8.410448e-02  0.0490588171 -0.550956968
1464  -5.132779159   1.520772958 -2.628801e-01 -0.8334406640 -0.202409711
1465  -5.031394390   1.399685509 -4.780412e-01 -0.5164382436 -0.267855529
1466  -4.856612739   1.029752583 -1.137276e+00 -0.1847242070 -0.358326902
1467  -4.101934885   1.339819330 -5.877501e-01 -0.8303913124 -0.088824044
1468  -4.147637604   1.334908708 -8.870285e-01 -0.6188148684  0.095857432
1469  -4.437854613   1.266993513 -8.083838e-01 -0.8111260346 -0.081111694
1470  -5.417852374   0.944736965 -4.937316e-02 -0.6234369142 -0.395169355
1471  -4.461712424   1.575558146 -1.805883e-02 -0.8448145557 -0.181412204
1472  -4.386067516   1.544524680 -1.376106e-01 -0.7736868610 -0.169833760
1473  -3.952547132  -0.175731954 -3.520693e+00 -0.4664499045 -0.102272184
1474  -4.096559914   0.850285887 -1.803996e+00 -0.8103720998  0.003340703
1475  -5.504688358  -0.008461770  1.847737e-01 -0.7306673843 -0.648857694
1476  -5.575070900   0.714185844  9.110348e-02 -0.5422533037 -1.411501916
1477  -5.300698799  -1.009127744 -1.720006e+00 -0.4674303220 -0.741548677
1478  -5.707862440   0.248205031 -2.024208e-01  0.5457952783 -1.688778508
1479  -6.145068747   0.448794781 -7.010975e-01 -0.0685713494 -1.391057159
1480  -5.467325740   0.902286978 -7.184140e-01 -1.1402581422 -0.143945750
1481  -6.201151838  -0.137920567  7.813177e-02 -0.6388087156 -0.930106449
1482  -6.225770929  -1.074257735 -3.062170e+00  0.3117700273 -1.887643237
1483  -6.523927842  -0.519008330 -2.062500e+00  0.3398629011 -1.603543561
1484   2.411651450   0.503239264  1.050626e+00 -0.0114852289  0.555631791
1485   2.623403315   0.957797635  1.552880e-01 -0.9779785828  1.183656170
1486   2.221430928  -0.566273111 -2.468051e+00 -1.0522027071  2.208641328
1487   0.575670961   0.929162078  5.724629e-01 -0.5789067066  0.889127575
1488   2.360832163  -1.288173063 -4.803920e+00 -0.6108858475  1.189901313
1489   3.863139518   0.948523678  8.779133e-01  0.7719099804  1.025761414
1490   1.010830461   1.212398626 -4.679026e-01 -1.1390453785  2.273557042
1491   1.544891562   0.513865932 -1.004171e+00 -1.5988839102  2.400964638
1492   1.286073107   0.904048332 -3.654838e-01 -1.1569279200  2.494705243
1493   0.881880121   0.985401325  2.318870e-01 -1.1574174930  2.055099413
1494   2.150190761   0.693105707  4.538066e-01  0.4536235866  1.689876311
1495   1.183302161   1.092517051  7.106726e-01  0.5311283663  1.936702502
1496   1.815318504   0.918476528  2.712896e-01  0.5913834961  1.633667873
1497   2.252389543   0.847795657 -2.040776e-01 -0.1844833466  2.035862202
1498   1.164416567   0.784143081  5.660061e-01 -0.9093917835  1.184393958
1499   1.347162444   1.640164969  1.055080e-01 -0.9275125282  2.087969814
1500   1.378282545   1.145085507  7.910348e-01  0.3825469534  1.644659509
1501   1.562026597   1.093770563  6.960185e-01  0.5317546624  1.581996078
1502   1.746914491   1.271210559  8.366318e-01  0.5299150881  1.766944125
1503   3.073350661   0.797751707  9.910362e-01  1.8338043222  0.329588055
1504   0.948145423   0.870942104  6.547690e-01  0.4287174962  1.428429178
1505   0.576326223   0.925948560  1.766724e-01  0.8253000701  1.888354098
1506   0.487205053   0.865381686  3.967294e-01  0.8173614921  1.529776340
1507   1.632647812   1.235133793  7.440949e-01  0.7030965348  1.244093886
1508   1.569158236   1.203297271  2.473325e-01  0.3809905805  2.038869798
1509   1.394269037   0.999490190  8.494607e-01 -0.9900336162  1.325524508
1510   3.227255685   1.028559092  4.530685e-01  0.3799652280  1.931678740
1511   1.562256588   1.375017221  7.706532e-01 -0.4017887788  2.060371686
1512   2.072186018   1.383742030  7.559420e-01 -0.5963882298  2.170110225
1513   1.268305054   1.473243225  8.279436e-01  0.2699497121  2.011307096
1514   1.775846186   1.129430743  6.485329e-01  0.2265518205  1.949199466
1515   1.595259041   1.221998505  1.042536e-01  0.4667038179  1.968274200
1516   2.636007164   1.891362569  5.711297e-01 -0.5143489395  2.324556137
1517   1.944730609   1.158800280  3.353801e-01 -0.2998770210  2.114338790
1518   0.184457843   0.697397463  2.688415e-01  1.0656109281  1.440538082
1519   2.005056988   0.930585833  6.138234e-01  0.4839204437  1.885543666
1520   0.533495752   1.133880161  5.518975e-01 -1.5118850131  1.689768138
1521   0.865466960   1.132010279  4.899264e-01  0.2272843273  1.687114342
1522   3.335032291   1.611034550  5.162879e-01 -0.0798160629  1.908238462
1523   2.354310544   1.439399150  7.715770e-01  0.2048522936  1.338275550
1524  -1.243085275   0.542034502  5.544204e-01  2.5271339533  0.303621824
1525  -0.457580637  -0.003561896 -5.424374e-02  2.8373795797  0.206935229
1526   0.330015914   0.879149188  2.029739e-01  2.1436342216  1.009353879
1527  -1.109804696   0.189196542  9.233795e-01  3.7372820521 -0.670272646
1528   0.231906367   0.080813582  9.433366e-01  2.5285208494  0.633444811
1529  -0.851752665   0.514080980  6.373774e-01  2.1227256994  0.578608208
1530   0.531417792   1.274901885  8.731463e-02  2.8323111724 -0.157786822
1531   1.783204394   0.750112205  9.821045e-01  2.0658504469 -1.643038822
1532   2.552791826   1.722924022  1.994346e-01  2.7517136062 -0.642074542
1533   2.192306705   1.870836862  5.325751e-01  0.9596361407  0.364511131
1534   2.568874854   1.752428644 -8.791249e-03  2.4316128953 -0.567098633
1535   2.354123001   1.673749519 -8.100280e-02  2.4134926177 -0.412417151
1536   0.967045056   1.881316106 -8.198643e-02  1.5049445568  0.426115040
1537   1.053375684   1.831338548  1.283956e-01  1.4426580230  0.206740344
1538   1.510696764   1.628402631  7.894453e-02  1.3022135834  0.271786989
1539   1.081267128   1.933606902  6.809125e-01  1.5863453408  0.224317438
1540   1.182122915   1.873526337  4.954518e-01  0.0035097305  0.584038729
1541   1.382997781   1.537870476  5.030997e-01 -0.5395641045  1.019079091
1542   1.007605952   1.383322834 -3.233616e-01 -0.4250650275  0.071453651
1543   1.373806716   1.762978966  3.731690e-01  1.4712616880  0.271790129
1544   0.741537496   2.236601712  6.769111e-01  1.6278524289 -0.072343543
1545   0.969847761   1.940154468  5.794952e-01  1.6679500422  0.126702092
1546   1.093605133   2.006717602  7.103119e-01  1.2497243197  0.131311411
1547   0.445821839   1.437559486  2.254456e-01  0.4205327110  0.181021706
1548   0.759120680   1.175133261  6.156057e-02  0.4008953436  0.240282056
1549   0.775120199   1.413999752  3.145623e-01  1.8659701661 -0.237840075
1550   1.023957985   1.664326257 -1.449365e-01  1.0822823086  0.368532413
1551   2.421844081   2.199103675  5.156489e-01  0.5892124565  0.189425620
1552   1.690787064   2.076898489  1.338501e-01  0.7235320753  0.402935308
1553   2.114462066   1.538003316 -1.718114e-01 -0.7363692055 -0.191169277
1554   1.144903053   1.799464367  4.086537e-01  0.6902356669  0.563091917
1555   1.315584197   1.363264332 -1.574375e-01  0.3607124069  0.073914434
1556   0.792902176   1.628901028 -2.988147e-01  1.4180425602  0.150030353
1557   1.627963430   1.997705053  7.884837e-01  0.6555405891  0.034367643
1558   2.140192647   2.016563714  1.510741e-01  0.6130791908  0.105227723
1559   2.121764691   1.613256395 -1.293229e-01 -0.7475875780  0.246396179
1560   1.989284943   1.432322944  3.279344e-01 -0.4889797613  0.247914109
1561   2.203775149   1.736596500  2.674237e-01 -0.3958887097  0.309462312
1562   2.168999326   2.031610680  8.423851e-01  0.5731046203 -0.055002077
1563   3.518848884   0.923746103  2.554943e-02 -0.0189572135 -0.190229830
1564   2.527093939   1.800114399  6.527518e-01 -0.9866465291  0.455063776
1565   1.659323888   1.685192756 -1.427503e-01  1.4422393393 -0.472190271
1566   3.154935789   1.909417464  8.359534e-01  0.9068216226  0.117925297
1567   2.256782188   1.969074411  1.064147e-01  0.2726761527  0.845447227
1568   2.875642219   1.880065498  8.733199e-01  0.4531141409  0.339463303
1569   1.364512391   1.472404387  4.637209e-01  1.5994016268 -0.665681526
1570   2.557828278   1.060275091 -1.075704e+00  1.6002813436 -0.152027420
1571   1.398918411   1.656011545 -5.422308e-02  0.9298245981  0.009898897
1572   1.253014606   1.784705726  2.446842e-01  1.1112363504  0.044740363
1573   1.349945315   1.056311099 -1.980860e-01 -0.0655239220 -0.487229539
1574   2.843899435   1.804645135  5.591465e-01  0.3916238909 -0.029364191
1575   2.079250797   1.878008771  5.457880e-01 -0.6939827344  0.319631076
1576   1.143406047   1.728425565  3.077700e-01 -0.4111150550  0.306509084
1577   2.668324661   2.067765897  5.483265e-01 -0.2981673904  0.357229590
1578   1.593399853   1.918265894  5.633377e-01  0.9357101206 -0.401178454
1579   1.384195478   1.864740257  3.431626e-01  0.0720809141 -0.005362502
1580   2.043803374   1.898906231  1.249422e-01  0.6490334334  0.192495097
1581   3.099288293   1.093419598  4.860734e-01  0.8494545535 -0.143456946
1582   2.024187655   1.556612019 -1.393883e-01  1.2190113268 -0.263591853
1583   2.029464881   1.954259635  3.650557e-01  0.2002530244  0.114808943
1584   1.729660373   0.956055868  2.341567e-01  0.5505632856 -0.062264251
1585  -2.446927011   0.423877935  1.000666e+00 -0.0527652429  0.254203734
1586  -2.288407790   0.440184865  3.124924e-02 -0.0372927114  0.570030329
1587  -2.532126883   0.370745832  6.180344e-01 -0.9978308066  0.546779786
1588  -1.863730203   0.338287560  7.768085e-01 -0.1370981233  0.067995176
1589  -1.446484220   0.692043756  6.565439e-01  0.5300312537  0.237157717
1590  -1.899431528  -0.290307726  1.029009e+00  0.1030908379 -0.292526850
1591  -1.221993893   1.030149220  8.440935e-01  0.0402366238  0.143382990
1592  -2.046378953  -0.581558369  1.367079e+00 -0.5987452819  0.265207122
1593  -1.750210108   0.454509136  1.288011e+00  0.8849102345 -0.310504165
1594  -0.963423354   1.108528277  8.323458e-01  0.6495780098 -0.108460143
1595  -2.696602012   0.700432136  4.513908e-01  1.1596683301 -0.279241115
1596  -1.247675553  -0.300692528  1.636623e+00  1.1331672179 -0.551133484
1597  -0.636689326   1.247697064  6.497821e-01  0.9686186221 -0.057539469
1598  -0.763028359   1.137982462  8.544859e-01 -0.1546661043  0.489785247
1599  -1.595972843   0.908961733  4.422278e-01  0.6174148393  0.011045465
1600  -0.643468733   0.833870604  2.601234e-01  0.8709582495  0.099278603
1601  -1.127554062   0.796722588  1.271507e-01  0.9467149811  0.156998468
1602  -2.536171886   0.157634128  5.191901e-01  0.5928884330  0.146264927
1603  -2.667531149  -0.017237364  5.347617e-01 -0.8058044722  0.455877087
1604  -1.987593600   0.408673050  6.521524e-01 -0.0327740258  0.402028193
1605  -1.881465654   0.322165892  7.555024e-01 -0.6254874824  0.565215811
1606  -2.474982922   0.553580981  5.280667e-01  0.2759176843  0.614106495
1607  -1.548588594  -0.283736794  1.343548e+00  0.6874185108  0.308478092
1608  -1.770280883  -0.121502807  1.127992e+00  0.4154174395  0.507216905
1609  -0.530408970  -5.873265004 -1.263437e+01 -0.1961631180  0.548630462
1610  -1.693312437   0.037505839  1.273294e+00  0.1297860302  0.656976709
1611  -1.916079271  -0.689620635  8.523041e-01  0.6521340859  0.585394828
1612  -2.009912275   0.367130143  7.467159e-01  0.0226339611  0.845989521
1613  -1.996730365   0.544655448  7.310548e-01 -0.0311828022  0.678725841
1614  -2.034052588  -0.310086687  9.238910e-01  0.0711438355  0.505383808
1615  -2.253070211  -0.870413141  1.146762e+00  1.1336289907  0.462260786
1616  -2.405427981   0.651448833  8.818782e-01  0.2751426049  0.907033611
1617  -1.853607984   0.545958689  6.299893e-01 -0.0987915224  1.250912687
1618  -2.311328106   0.897807317  7.850338e-01 -0.0007080737  1.034459569
1619  -2.025736914  -0.098693031  1.358707e+00 -0.5636648551  1.500759829
1620  -1.417868353  -8.007239830 -1.183880e+01 -0.5857849459  0.727393545
1621  -2.268308497  -0.355632235 -1.191604e+00  1.8372124715 -0.396124340
1622  -1.492700319   0.534031202  7.061283e-01  1.3470300156  0.035003481
1623  -1.463475578   0.485908857  2.930340e-01 -1.0391170221  1.393333650
1624  -1.816675596   0.656008403  6.965900e-01 -0.8764961242  1.110957666
1625  -3.001385753   0.247044496  3.875908e-01 -0.8976950913  0.685240274
1626  -2.136754475  -0.701504134  1.079485e+00 -1.4533327320  1.206791948
1627  -2.110703394   0.901941834  1.024779e+00 -1.3469275958  1.507895862
1628  -2.859893471   0.271113757  8.143428e-01 -1.1752917668  0.733244814
1629  -1.708801490   0.717049664  7.027634e-01 -0.9298917095  1.174846481
1630  -1.957609707   0.938689933  6.594640e-01 -1.8333909370  1.641589806
1631  -1.168505069  -4.936139766 -9.669932e+00 -0.5404319623  0.728088356
1632  -2.544365638   0.437354403  8.693156e-01 -1.3504412270  1.143124572
1633  -2.570212306   0.529374383  9.906694e-01 -1.2685754224  1.310811080
1634  -2.024597259   0.628363980  8.250779e-01 -0.9189156861  1.083922205
1635  -2.679088725  -0.661742552  1.402659e+00 -1.3013283626  1.041896018
1636  -1.988816057   0.787365220  5.856545e-01 -1.3150495651  1.263381723
1637  -1.878692318   1.301041505  4.951652e-01 -0.4487800728  1.288965716
1638  -2.448898228   0.695819514  5.775856e-01  0.0187496154  0.442780290
1639  -1.936369278   0.603089314  7.621410e-01  0.2196795515  0.211613513
1640  -1.815591494   1.014248946  8.770256e-01 -0.2824135143  0.967454826
1641  -1.848053787   1.160058195  7.215318e-01 -0.3691061183  1.401250411
1642  -1.694385705  -6.649799621 -1.315257e+01  0.9752563943 -0.183658940
1643  -1.934008688   0.908177837  2.613278e-01 -0.2089878055  0.798817725
1644  -3.056621480   0.511812731  8.150734e-01  0.9968588734 -0.488749512
1645  -1.712375570   1.144051771  6.375790e-01 -0.2618613494  0.745909149
1646  -2.151978544   1.188897702  4.308480e-01  0.4821162996  0.303154545
1647  -1.776779373   1.503405555  6.802836e-01  0.4747949748  0.782054089
1648  -1.544929131   0.681791528 -1.530051e-01 -0.4208641469  1.148143445
1649  -2.167032898   0.901585489  6.015903e-01  0.0977853785  0.767348701
1650  -1.578829393   1.307752437  4.104708e-01  0.5101062046 -0.295844793
1651  -1.665333323   1.542727025  4.071142e-01 -0.0305862222  0.177251470
1652  -1.973203153   1.524664421  3.920001e-01 -1.0733399387  0.981030745
1653  -0.342031503  -5.020654200 -1.253746e+01 -0.1170997387  0.261512691
1654  -0.900559372   1.776007119  3.092286e-01 -0.7277629306  0.993464528
1655  -0.264521203   1.535591833  3.317977e-02 -1.2378589437  1.103054993
1656  -0.160532116   1.717894762  1.582064e-01 -0.6865482952  0.846923774
1657  -0.372701619   1.764543705  4.818611e-01 -1.3779011683  1.204552180
1658  -0.608278457   1.719382980  6.740546e-01 -1.4653946389  1.299125964
1659  -0.999759874   1.788380744  2.931526e-01 -1.2135369159  1.304327262
1660  -1.019579554   1.581766671  5.899435e-01 -1.2519302037  1.278139813
1661  -0.467983771   1.471777804  3.963550e-02 -1.1907999814  1.763885024
1662  -0.709540820   1.994085418  1.608859e-01 -1.8228912347  2.078793882
1663  -0.601172122   1.875033795  2.915860e-02 -2.2001528771  1.983092539
1664  -0.324424612  -4.685894440 -1.155986e+01 -1.2286025364  1.424690579
1665  -1.430159410   1.250879642  2.787801e-01 -1.4295849761  1.309606818
1666   0.280012570   1.601325352  4.372242e-01 -1.3621109945  1.615244788
1667  -0.483404932   1.544015384  1.567613e-01 -2.1023971243  2.070732692
1668  -0.685004988   1.686899674  1.223353e-01 -1.6985599373  1.788184950
1669  -0.326822715   1.522056710  3.742238e-01 -1.1391156374  1.589378360
1670  -1.146448577   1.622786007  4.323044e-01 -1.4358737199  1.601077244
1671  -0.996354948   1.685264056  2.866749e-01 -1.1674767119  1.691506159
1672   0.070895242   1.725532210  2.800704e-01 -0.9518118215  1.253439706
1673  -1.436821755   1.744585887  5.472691e-01 -1.8525372467  1.667128037
1674   1.003960779   2.139705439  1.868083e-01 -1.1402838843  1.909843026
1675   0.180227515  -5.378950021 -1.294415e+01 -0.9668985445  1.386587266
1676  -1.134976172   1.613861687  2.164362e-01 -2.0646346913  2.487752311
1677  -1.076606270   1.701809904  5.691023e-01 -2.0352855522  2.194813766
1678  -0.977623215   1.481359608  2.607874e-01 -2.2441233009  2.556365358
1679  -0.916293725   1.595823935  3.840061e-01 -2.5784213613  2.393284247
1680   0.573427512   2.177040717  1.761497e-01 -2.3915657194  2.241983014
1681  -3.016847947   1.300199270  5.840476e-01  1.9585074540 -0.126051016
1682  -2.522080533   1.202189891  5.668892e-02  0.5334926276  0.750419718
1683  -1.697008727   1.458179757  8.418437e-01  0.4730270331  1.467197840
1684  -1.528046580   1.422918780  2.293235e-01 -0.0318291423  1.623269686
1685  -2.158890455   1.222379669  3.695544e-01 -0.0345737965  1.380298398
1686  -1.963277781   0.994608522  1.718845e-01  1.0128684166  0.035159520
1687  -0.413075785  -5.850622952 -1.355403e+01  0.6121738585  1.377032667
1688  -2.631408826   1.224403428 -1.388909e-02  1.5422727218  0.137668638
1689  -1.792494243   1.316363164  2.792516e-01  0.8344399791  1.186724856
1690  -2.355674096   1.335913613  6.743754e-01  1.1438997873  0.510830919
1691  -1.440099548   1.178933222  1.834995e-01  0.1541228690  1.255906189
1692  -1.570786883   1.422132131  2.831501e-01  0.4047271981  1.216316801
1693  -1.948963548   1.275093868  1.765375e-01 -0.2020092070  1.671324752
1694  -0.718898283   1.611669479  3.167177e-01 -1.2212801544  1.882140548
1695  -0.200879541   1.906524233  3.568865e-02 -2.1093894862  2.096656154
1696  -0.397936462   1.892550761  4.065396e-01 -1.5720537372  2.535764390
1697  -1.201251420   1.808761859  1.038583e-01 -1.5795091649  1.942108441
1698  -0.326675543  -5.285574723 -1.249941e+01 -0.6090252399  1.435664889
1699  -1.158790287   1.842659306  7.900519e-02 -1.6283827867  1.650468887
1700  -1.388651689   1.414311001  1.134652e-01 -1.0288122518  1.426063539
1701  -0.108727605   1.942776633  4.363116e-01 -1.1589480242  2.111336085
1702  -1.066339573   1.142322474  1.365411e-01 -1.5021220385  1.857947913
1703  -0.693071095   1.788778004  1.611057e-01 -1.2224319695  1.442118104
1704  -2.949338799   2.010016313 -1.119522e-01  0.0680243076 -0.023461625
1705  -2.666575505   1.633503219  2.309730e-01  1.4455033526  0.302189913
1706  -1.477075457   2.221800975  5.844419e-01  1.6174473313  0.104813416
1707  -0.453055136   2.456333001  5.355075e-01  0.5387155384  1.112420695
1708  -1.750293598   1.914763652 -4.536019e-01  0.8365173862  0.173842127
1709  -1.110848343  -5.078375319 -1.287174e+01  0.3606810784  0.228914794
1710  -0.127670225   2.411149833 -1.589469e-01  0.2010971547  1.162501156
1711  -2.192299444   1.765838113 -2.059454e-01  0.8309811658  0.355304169
1712  -1.003150136   2.016683208 -7.324688e-02  0.3198624204  0.799067311
1713  -1.849184992   2.089147065  3.444567e-01  0.1759305806  0.562301608
1714  -0.804868623   2.106087898 -3.785483e-02  0.9522061201  0.237039266
1715  -2.116930310   2.237688697 -2.433644e-01  0.4665019523  0.751559610
1716  -1.394402000   2.036038506 -2.129882e-01  1.2688546993  0.526626113
1717  -1.371690997   2.295903386  2.698983e-01  0.9023241561  1.075363150
1718  -2.181693651   1.986292325  2.793206e-02  1.2606012252  0.278299977
1719  -0.988663075   2.312558536  2.309559e-01  0.5669245039  1.541815133
1720  -0.490903460  -4.569385215 -1.356102e+01  0.1366038752  0.523714090
1721  -2.403197900   1.765845745  7.377689e-02  0.8201474908  0.523010312
1722  -1.522011151   1.865041756 -9.723270e-01  0.5199967644  0.318732200
1723  -0.954878283   1.806930486  2.239304e-01  0.4631170296  0.459706532
1724  -0.137798288   2.568986816 -5.216700e-03 -0.1775318795  1.141518843
1725  -2.131232394   2.089181623 -6.646300e-02  0.1972318582  0.068738051
1726  -3.943154841   0.895268557  7.213920e-01  1.2024196038  0.305703671
1727  -2.971649183   1.475587744 -6.828366e-02  1.5751384100 -0.177704755
1728  -1.141299096   2.376466329  3.827228e-01  1.4920658706  0.119206125
1729  -2.045933520   1.780554720  2.875755e-01  1.3923938032 -0.467939905
1730   0.977305989   2.601446908  4.180318e-01 -1.2172420260  1.873507069
1731   1.426911067  -4.509786599 -1.364060e+01 -1.1213057731  1.451434274
1732  -0.001987363   2.551285224  2.160666e-01  0.1810247123  0.416444161
1733   0.557585159   2.488639413 -5.084625e-02 -1.1925372582  1.554522983
1734  -1.262087989   2.001311969  9.488455e-02  0.4025857040  0.879861421
1735  -2.153521002   2.166448295  1.206523e-01  1.0886274483  0.044324538
1736   0.154932321   2.357011549  1.248239e-02 -0.1826875141  0.839365853
1737  -0.459713842   2.501583820  4.156264e-01  0.3356454065  1.037417385
1738  -0.419235546   2.079452668 -1.953934e-01  0.2551410837  1.050853768
1739  -0.576498752   2.192528466 -1.161780e-01 -0.2177453422  1.057420668
1740  -0.623579892   2.321961923 -3.462071e-01  0.1070833563  1.225419739
1741  -1.055831637   1.519303877 -1.035062e-01  0.6708664808  0.350718882
1742   0.710369428  -3.701198657 -1.232475e+01 -0.8774540871  0.829563738
1743  -1.425717507  -1.956695379  2.180992e+00 -3.3444257656  2.932205059
1744  -0.144578684   2.413115255  1.455957e-01 -0.0957775779  1.139928650
1745  -0.459400852   2.586433664 -1.321646e-01 -1.1344425867  1.500551600
1746  -0.333592097   1.918632473 -4.526456e-01 -0.4012996278  0.941128142
1747  -2.039546505   2.083058737 -1.266479e-01  0.6751498450  0.823316957
1748  -2.847868793   1.483041785 -4.903746e-01  1.8517050545 -0.302789882
1749  -2.451656548   2.137869709  2.360267e-01  1.3822490863 -0.065442309
1750  -1.341507656   2.063408235  2.636957e-02  1.8795133760  0.423765904
1751  -2.107683291   1.852981874 -1.916124e-01  1.8473321005  0.177902474
1752  -1.214149996   1.987201210 -4.388842e-01  0.3167477149  1.498626086
1753  -0.308760548  -3.931466571 -1.153076e+01  1.3500271892 -0.048231066
1754  -1.154622686   2.264922406  4.755592e-01  1.0381391604  0.303189819
1755  -0.705651397   2.447129844  2.296098e-01  0.1374546703  1.586714925
1756   1.239142249  -0.375268512  1.832968e+00  1.1811988336 -0.227620415
1757   1.704842883   0.034498957  1.990654e+00  1.6064540614 -0.525809429
1758   2.598449488  -0.461129857  1.039249e+00  1.0358810699  0.263587717
1759   1.582810530   0.202843690  1.527289e+00  0.6257528056 -0.141710063
1760   0.935309141  -0.683400017  1.794518e+00  2.0983923834 -0.542750575
1761   0.998636450   0.103461111  9.367937e-01  0.8918582836 -0.291101209
1762   1.900693009   0.141014050  1.427495e+00  0.9729548072 -0.231681689
1763   1.248308533   0.449205849  7.092104e-01  0.8820132846  0.247881533
1764   3.128279789  -6.944225608 -1.246933e+01  0.5847981035 -0.333091605
1765   2.030923610  -0.166005966  1.588784e+00  1.3750596717  0.745400631
1766   1.346077559  -0.345305669  1.485962e+00  1.8620060542  0.093323664
1767   2.345460520  -0.484210010  2.101093e+00  1.2844874256 -0.098957511
1768   2.134946770  -0.539683528  2.112907e+00  1.5264365953  0.462879872
1769   1.833076924  -0.682028805  1.149188e+00  1.2638425970  0.140773834
1770   1.397689479  -1.301015179  1.365629e+00  1.1262872525 -0.391289536
1771   1.432707645  -0.910059364  1.647332e+00  2.1026348538 -0.618819020
1772   0.987350053   0.167269944  1.159583e+00  1.9989032898  0.020878449
1773   2.950072317  -1.524370001 -6.623327e-01  0.7737800282  0.306161041
1774   1.987496015  -1.920738474 -4.049191e-01  1.3187591412 -0.601916255
1775   2.398271176  -6.309102246 -1.074976e+01  1.1387327471 -0.191502894
1776   2.982570145  -0.401388528  1.459216e+00 -1.5631814608  1.060683173
1777   2.908519962  -0.524309974  1.687674e+00 -0.8334778780  1.251157005
1778   2.943874751  -0.344085924  1.373842e+00 -1.3440090775  0.930597205
1779   2.555446454  -0.466833669  1.093732e+00 -1.3995892287  1.033104740
1780   2.807449117  -0.194041369  1.153511e+00 -1.4821131333  1.310180660
1781   2.935286489  -0.367813599  1.933494e+00 -1.1274429390  0.797378802
1782   1.874496048  -0.934247754  1.919975e+00 -0.4021593257  0.514821569
1783   2.774915052  -0.039207845  1.518288e+00 -1.5601583298  1.533424944
1784   2.434326807  -0.236085643  1.417158e+00 -1.1058643229  0.985974555
1785   2.891434296   0.187900686  1.293880e+00 -0.8836902729  1.413922314
1786   4.088370167  -6.969309077 -1.140847e+01 -0.9480047272  0.806651748
1787   3.053477492   0.128723659  1.626044e+00 -1.5290672077  1.395244040
1788   3.532787557   0.376863586  8.733299e-01 -1.4425460304  0.825613057
1789   3.262827131  -0.058318809  1.872661e+00 -1.8131536360  0.956967861
1790   3.478887199  -0.408455533  5.904400e-01 -1.5970708810  1.160395713
1791   3.058019711   0.158446891  1.089795e+00 -1.1187842786  0.893660598
1792   2.292405083  -0.369202783  1.526613e+00 -0.4040577545  0.879303666
1793   3.529315598  -0.432009673  1.092834e+00 -1.2930088502  1.176052050
1794   3.368507242   0.123191259  1.686117e+00 -0.0523396845  0.649785154
1795   1.446932415   2.848544825 -4.280339e-01  0.0301799902  2.654713522
1796   0.797873062   2.347273261 -5.316461e-01  0.5073786863  2.567517591
1797   1.582637339   2.225255036 -2.024456e-01 -1.1619824494  1.858390624
1798   3.797092598  -3.268866970 -1.169809e+01 -2.4892268670  4.743333809
1799   0.559748049   2.410774884 -7.669690e-01 -0.2554049663  2.523638924
1800   0.342844958   2.400475213 -4.731950e-01 -0.1200025079  1.758252511
1801   0.853997197   2.437536906 -1.784143e-01  0.8875548611  1.596588315
1802   1.994709428   2.702629756 -2.616376e-02 -0.1143460288  2.299868960
1803   1.429616467   2.685586318 -5.297836e-01 -0.1033763502  2.538368254
1804   1.516639334   2.804915677 -2.663514e-01 -0.1375581744  1.493106566
1805   1.410458592   2.686066902 -2.143264e-01 -0.6722501087  1.825449381
1806   0.383886038   2.675876322  2.862117e-01  0.0794910428  1.998973342
1807   2.260581658   2.889888191 -6.090678e-01 -0.2316266821  2.878017328
1808   1.554633565   2.338865791 -9.036031e-01  0.5478143403  1.329587903
1809   2.890327007  -4.000106035 -1.345894e+01 -0.8729416316  1.822888867
1810   1.042478178   2.872349160  7.490175e-02 -1.2629101257  3.132972278
1811   1.298838532   2.804408825  1.147850e-01 -0.4587788626  2.871237006
1812   1.364732361   2.701303204  1.865823e-02 -0.4011257430  2.065296952
1813   1.520021958   2.836109677 -2.796272e-01 -0.2422345405  2.521871139
1814   1.716160757   3.056748169 -9.338319e-03 -0.5214238185  2.446397689
1815   1.668043473   2.668191335 -3.381921e-01 -0.7262506044  3.356467073
1816   1.206929626   2.546081713 -3.883257e-01  0.1161437341  2.706280542
1817   2.030495595   2.968901816  2.865569e-01 -0.5722428939  2.351368563
1818   1.434791540   2.901639039  1.779816e-01 -0.5047423519  2.997184300
1819   1.095376151   2.879819609  4.331833e-01 -0.7238722971  3.139225681
1820   3.395895165  -3.793017300 -1.309585e+01 -0.5618941276  2.313819156
1821   2.126615783   2.587068992 -7.056555e-04 -0.6241737945  2.590655055
1822   4.719666610   3.917952064  6.081148e-02 -4.8668118478 -2.479843856
1823   0.635013774   2.523386007  7.860605e-01 -0.4191510697  1.477284814
1824   2.733582359   2.509023779 -2.386669e-01 -1.5671786346  2.614031460
1825   0.704729621   2.730618737  1.203696e-01 -0.3410207027  2.609325669
1826   1.808799046   2.707147188 -3.747245e-01 -0.0553090642  1.913988629
1827   1.713530945   1.977194123  6.158112e-01 -1.6662933286  3.091769272
1828   1.688658488   2.504915392  2.208921e-02 -0.2545648208  1.634383795
1829   1.149813985   0.431516412  2.822257e-01 -2.5089363457  3.465852311
1830   1.820102704   2.166335280  1.759683e-01 -1.2294185084  2.085880115
1831   4.626219100  -3.193924056 -1.198955e+01 -1.8263542981  2.464346638
1832   1.541696933   2.682178814 -3.498948e-01 -1.9260595299  3.372594598
1833   1.239038757   2.417463866  2.152371e-01 -2.0229881417  2.756977513
1834   0.808216971   2.488357365 -3.041115e-02 -1.5709897178  2.641694686
1835   2.796155686   1.934991475 -1.852354e-01 -2.1356268561  3.167542422
1836   1.620806044   2.284863421 -5.609371e-01 -1.8285468949  2.872457346
1837   0.314175541   2.845619044 -9.684445e-02 -1.5755124730  2.368622730
1838   0.827059587   2.470576703 -1.070718e+00 -1.8148816684  2.929567107
1839   1.439024484   3.024701997 -2.313406e-01 -2.1519751761  3.591793139
1840   1.652344936   2.872221721 -5.176664e-01 -1.6861310929  2.888083168
1841   2.746083574   2.776301070  2.085657e-02 -2.0281021171  3.197175205
1842   4.506448903  -4.872412546 -1.453029e+01 -2.7538933086  3.573089975
1843   1.960836451   1.728871756  1.355448e-02 -2.1961384211  3.805110308
1844   1.320882485   2.765517554 -5.778030e-01 -1.3620443704  2.271521827
1845   0.202832480   2.482308397 -2.880519e-01  0.2835591554  1.627151429
1846   1.980893992   2.843055648 -4.909853e-02 -1.4773488624  3.474787560
1847   2.697554686   2.911535083  1.898275e-01 -1.2612652894  3.646305284
1848   0.503719417   2.513817773  1.058980e-01  0.8119746583  1.549957136
1849  -0.148314073   2.353488405  1.956993e-03  0.2295231072  1.956518141
1850   0.493032320   2.774344550 -2.592667e-01 -0.7502791151  2.705461289
1851   0.421164539   1.901038034 -2.994606e-01 -0.0724418885  1.116756503
1852   0.079813250   1.213714078  4.168953e-01 -1.3220628173  1.765908558
1853   0.121551592  -4.627533538 -1.025673e+01 -0.5454479177  1.627024871
1854   0.118017018   1.189522503  7.198518e-01 -2.2586420381  2.790907433
1855  -0.072968897   1.193977781  8.034247e-01 -1.3924897299  2.766863376
1856   0.039275554   1.457436805  6.228012e-01 -1.0720321866  2.425562060
1857  -0.057265148   0.846688957  1.099446e+00 -0.8912168151  2.418432293
1858  -0.104226381   1.528707248  4.482143e-01 -2.6560157098  3.171146931
1859   0.421620811   1.613605902  7.243263e-01 -2.0767665106  3.033844578
1860   0.700870217   1.413863865  7.183004e-01 -2.0756749223  3.449357343
1861   0.591923371   0.828832644  5.285308e-01 -1.1053324528  2.628900657
1862   1.143059619   1.419636204  4.082169e-01 -1.3910496269  3.000250250
1863   1.258104663   1.345035221  5.845705e-01 -2.3826187331  3.536521452
1864   1.761745787  -5.033387358 -1.159791e+01 -1.2671886369  2.158532259
1865   1.111602088   0.713346311  1.364220e+00 -0.5877279694  2.204055888
1866   1.297687753   1.505961585  3.210517e-01 -2.4572614092  3.037466472
1867   1.391724578   1.366152774  5.612020e-01 -2.4775460870  3.030010371
1868   0.165205634   1.502395597  8.646931e-01 -1.0130495594  2.708091841
1869   0.185161141   1.426735523  9.116655e-01 -1.3336072190  3.525597446
1870  -0.560116654   1.175060555  2.785117e-01 -0.8421875570  3.022764556
1871   0.730795305   1.766686255  1.797711e-01 -1.6028079178  2.675990248
1872   0.950172878   1.522334807  4.395101e-02 -2.7997844603  3.005445356
1873  -0.185236350   1.001899281  7.227483e-03 -2.0058431014  2.727500495
1874   0.663589472   1.163856321  5.335098e-01 -2.3825373100  2.827845235
1875   1.320858294  -5.202425788 -1.138375e+01 -1.4196841077  2.495718298
1876   0.762802262   1.634286269  2.147870e-01 -2.0463981325  2.984694715
1877   0.455727511   1.348715895  4.693493e-01 -1.9094749991  3.038091545
1878   0.908095969   1.031947048  5.303760e-01 -2.1432010801  2.768068204
1879   0.614779735   1.555627308  6.472925e-01 -3.2719763268  3.129600980
1880   0.044830023   0.804069397 -3.056562e-01 -1.7381099610  2.945479839
1881   0.693452795   1.534549632  4.134927e-01 -2.7601429750  3.167298208
1882   0.717206526   1.524199271  3.825795e-01 -2.4301208090  3.393996600
1883   0.888042555   0.644080398  2.090639e-01 -1.4179940379  1.803015975
1884   1.449664423   1.020201598  7.497810e-01 -1.1011257746  3.222161075
1885   0.916192052   1.253816980  1.828495e-01 -3.3519794308  3.459085467
1886   2.180839096  -4.655578300 -1.166059e+01 -1.8256313452  2.659352430
1887   0.770691053   1.081230947 -1.790068e-01 -2.5822244663  2.992388680
1888  -0.098201454   1.123920178 -5.696472e-03 -1.9014230839  2.668895738
1889   0.990691588   0.986474328  1.980735e-01 -2.3458275319  2.265653042
1890   0.479872983   1.360347803  4.581760e-01 -2.1106276017  2.804365265
1891  -0.507403576   0.784189941  4.469980e-01 -2.4093627201  2.634845213
1892   1.527871664   0.556734694  6.693740e-01 -1.2104270163  2.658904696
1893  -0.359250142   0.907791680  6.010514e-01 -0.8851662937  1.972985367
1894   3.944096052   2.290951619  7.911112e-04 -6.2966020199 -3.237956250
1895   0.378589822   0.954468960  3.299131e-01 -2.7199596003  2.964964663
1896  -0.052038213   0.907178442  5.266614e-01 -1.5635731206  2.074217032
1897   4.970909298  -4.090299472 -1.117770e+01 -4.7917095601 -3.816770684
1898   1.053261065   0.911170054  9.259777e-03 -3.2416065900  2.914103371
1899   0.612112859   1.147784478 -3.042391e-02 -2.5657996069  3.686901394
1900   0.762177649   1.129759784  2.924785e-01 -2.8812613106  3.178342370
1901   1.844244378   1.202685515  4.674766e-01 -2.4583550043  3.155866942
1902   0.228049101   0.590261876 -1.240240e-01 -2.0904152608  2.708728189
1903   3.815701452   2.443573681  3.892098e-03 -6.9957305981 -2.414675080
1904   0.529028595   1.181819806  1.686884e-01 -2.2160973084  3.029420860
1905   1.392944915   1.417388942  5.396007e-01 -3.0959158573  3.154576168
1906   0.414966530   0.751063034  1.009484e-01 -2.4580595499  3.352992039
1907   0.939153481   0.777974061  8.723305e-01 -0.7035168501  2.771006672
              PC6          PC7           PC8
1    -1.281632631  0.111011360 -3.486610e+00
2    -2.272708586  0.884514039 -1.786342e+00
3     0.320654989  0.447645596 -2.410637e+00
4    -0.409637722 -0.510343616 -2.494190e+00
5    -0.562858742 -0.452287147 -2.166003e+00
6    -0.536958176 -0.603564229 -2.390146e+00
7    -0.040189130 -0.365995054 -2.653713e+00
8     0.326186665 -0.149075571 -2.549293e+00
9     0.160691323  0.312739855 -2.700649e+00
10    0.041387183  0.493787140 -2.192025e+00
11   -0.474593302 -0.156997261 -2.235318e+00
12   -0.899797950  0.545610778 -2.469262e+00
13    0.036974144 -0.892306305 -1.774979e+00
14   -0.618217050  0.149068720 -2.578781e+00
15   -0.246369364 -0.772214748 -2.130003e+00
16   -0.192936398 -1.009553037 -2.352189e+00
17   -1.258453644  0.056161096 -2.495873e+00
18   -0.753117944  0.113714476 -3.203389e+00
19    0.014842864  0.500229708 -3.517213e+00
20   -0.217698531  0.611419127 -2.923966e+00
21   -0.806025392  0.355392712 -3.075593e+00
22   -0.074601476  0.047664621 -1.962253e+00
23   -0.632641035  0.348910762 -3.125228e+00
24   -0.359793977  0.771557362 -1.229458e+00
25    0.232731706  0.724271287 -2.334655e+00
26   -0.781396315  0.172999150 -2.820635e+00
27   -0.397264969  0.841245504 -2.956701e+00
28    0.339558680 -0.928197436 -2.257050e+00
29   -0.975681997  0.993395328 -2.566272e+00
30   -0.849996701  0.130887282 -2.396534e+00
31   -0.558618902 -0.004683418 -2.165315e+00
32   -0.534890738  0.608495513 -2.475754e+00
33    0.108734114 -0.444310694 -2.422887e+00
34    0.049117213  0.414358363 -2.774399e+00
35    0.498732381 -0.122993517 -2.129719e+00
36    1.393597891  0.876365859 -2.960653e+00
37   -0.347328264 -1.041572178 -2.133432e+00
38   -0.539345592 -0.847620382 -2.102053e+00
39   -0.521315787 -0.361204466 -2.434212e+00
40   -0.191257741 -0.703857531 -2.337744e+00
41    0.135343013  1.027167774 -3.145168e+00
42    0.448401653 -1.106382138 -1.784761e+00
43   -0.470596856  0.119865603 -2.720025e+00
44   -0.965992039  1.064871991 -2.362634e+00
45   -0.532996520  0.424782229 -2.575268e+00
46   -0.936363556  1.568987407 -3.486879e+00
47    0.676066778  0.396385473 -2.682007e+00
48   -1.928894958  1.355415218 -1.356474e+00
49   -1.133200016  0.547711531 -2.657648e+00
50   -1.235668396  0.418861153 -2.200257e+00
51   -1.338066988  0.934851129 -2.586536e+00
52   -1.388926564  1.816086207 -2.291062e+00
53   -1.673077460  1.398143379 -2.587667e+00
54   -1.213889420  1.581593958 -2.791939e+00
55   -1.548027819  1.436416118 -2.366198e+00
56   -1.268975372  1.404953202 -2.181180e+00
57   -1.199657667  1.256158447 -2.334393e+00
58    0.098787814  0.873826616 -2.766406e+00
59   -1.321169911  0.839959495 -2.796330e+00
60   -1.421706096  0.749304188 -2.472434e+00
61   -1.468405790  1.287140437 -2.656732e+00
62   -2.170013232  0.916316529 -2.462889e+00
63   -1.572271829  1.045416901 -2.932688e+00
64   -0.989221993  0.734770776 -2.432228e+00
65   -1.278807300  0.680432270 -2.658733e+00
66   -1.127036951  0.159637197 -2.782969e+00
67   -1.320106862  0.957813735 -2.566167e+00
68   -1.642811435  1.974371936 -1.790975e+00
69    0.196168667  1.178870679 -2.859313e+00
70   -1.654640252  1.326925062 -1.318733e+00
71   -1.835659484  1.743863633 -1.889197e+00
72   -0.853481666  0.693366527 -2.973665e+00
73    0.583012862  1.198425189  1.793015e-01
74    0.472157671  0.911594945  1.783795e-01
75    0.505680415  1.229318790 -7.456939e-01
76    0.594966002  1.754094453  9.057112e-01
77    0.647033797  0.920233090  3.197243e-01
78    0.394477770  0.881323964  6.619029e-01
79    0.396233548  1.453163476  1.104190e+00
80    1.682635051  0.314135372  6.165037e-01
81    0.208184643  1.253392491  3.705363e-01
82    0.617460790  0.995517731  2.199977e-03
83    0.385734549  0.786717932 -3.659619e-02
84    0.246936182  1.385693279  1.260816e-01
85    0.145212734  0.932492808  5.597609e-01
86   -0.078681573  1.209089117  7.298303e-02
87    0.443036821  1.033836245  2.549241e-01
88    0.252301032  1.141427238 -1.089716e-01
89    0.307715429  1.111228044 -2.560853e-01
90   -0.271343761  0.226401522  1.239012e+00
91   -1.950328684 -0.077502160  1.104904e+00
92   -0.364476458  0.994913088  1.501179e-01
93    0.087517163  1.035874115  3.739796e-01
94    0.151369816 -0.038866218 -8.584121e-01
95    0.208358000  0.543213388  6.711106e-01
96    0.432447369  0.082018593 -4.117003e-02
97    0.201215769  1.595826085  1.113623e+00
98    1.342110866  1.014333816  1.238057e+00
99    1.615607700 -0.070236515  1.030404e+00
100   0.368962752  0.702267119  8.046471e-01
101   1.052198113 -0.142440407  7.800125e-01
102  -0.431469861  0.820799340  1.211432e+00
103   0.427480851  0.108100060  1.671568e+00
104   0.120635475  0.692755080  4.831494e-01
105   0.472708567  0.013501670  3.797312e-01
106   0.433624488  0.015859861  1.082590e-01
107  -0.345346941 -0.936323986 -7.872116e-01
108  -0.583866567  0.014405555  2.404632e-01
109  -0.443887641 -0.933946915 -1.531964e-01
110   1.844300004 -2.195267234 -5.130528e-01
111   1.958091707 -1.816641543 -5.089985e-01
112   1.362640555 -1.208130121 -1.794548e-03
113   0.880116273 -0.357859426  1.364018e-01
114   1.470678035 -1.284705538 -1.235875e-03
115   1.769645325 -1.499900236 -2.937558e-01
116   0.903730292 -0.012390998  1.171499e+00
117   1.446897207 -0.802934656  1.045452e+00
118   0.077894204  0.916011332  1.674217e+00
119   0.580341956  0.423950542  1.066503e+00
120   0.924591328  0.900100730  1.060810e-01
121  -0.118672592  0.935991904  8.101814e-01
122  -0.567540559 -1.235800285 -9.945608e-02
123  -0.099500687 -0.229993304  1.476723e+00
124  -0.324758669  0.840465852  1.182069e+00
125   1.915219185 -0.842533489  9.169824e-01
126  -0.744728303  1.266116595  1.469924e+00
127  -0.660817633  1.075297163  8.211673e-01
128  -0.282819171  1.626139125 -3.222712e-01
129  -2.170860248  0.067587291  7.577875e-01
130  -1.411089439  0.657228742  6.977611e-01
131  -1.637052416  1.125847194 -1.342759e-02
132  -1.799508921  0.556357692  6.820294e-01
133  -1.562699195  1.118404366  3.390704e-01
134  -1.267856113  0.299065063 -5.483666e-01
135  -0.870939473  1.104993504  1.026240e-01
136  -3.165896784  0.325649852  4.349756e-01
137  -2.041716594  0.818481447  1.016229e-01
138  -1.315873455  0.957992599  3.704619e-01
139  -2.981846518  0.416444526  3.300146e-01
140  -1.892924690  0.952091363 -2.209595e-02
141  -1.379082299  0.587380923 -8.386762e-02
142  -1.306173107  1.458095331  6.962829e-01
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1701 -0.413357446  0.883579508  2.156811e-01
1702 -0.853991011  1.878760810  1.618279e+00
1703 -0.575117993 -0.132468205  1.139821e+00
1704 -1.433336213  0.702485492  4.723733e-01
1705  0.789456629 -1.352966434 -4.733776e-01
1706  0.651830215 -1.204503917 -6.958059e-01
1707  0.247328646 -1.399525459 -7.545132e-01
1708  0.180596363 -0.523613333  2.620348e-01
1709  0.274298852 -1.393139419 -1.574275e-01
1710 -0.379732570 -0.788243107  1.067193e-01
1711  0.586627151 -0.730481089  3.378483e-01
1712  0.298769820 -0.135219618  2.732167e-01
1713  0.139419243 -1.622832018 -4.485965e-01
1714  0.209664100 -0.726296434 -2.481987e-01
1715  0.161517288 -0.359317185 -6.835344e-02
1716  0.782262744 -1.463719103 -2.935446e-01
1717  0.859232492 -1.842546999 -2.153897e-01
1718  0.754036100 -1.376242164  3.372167e-01
1719  0.277750292 -1.375977873 -3.354458e-01
1720  1.066500045 -0.949855513 -4.454863e-01
1721  0.478500814 -1.577586709  1.907537e-01
1722 -0.062800582 -1.506656821  1.427647e+00
1723  0.359179705 -0.706595075  2.454267e-02
1724  0.591923505 -1.652400025 -5.565290e-01
1725  0.307914351  0.065739393  7.374891e-02
1726  0.762774428 -1.259015644  4.031374e-02
1727  0.840590904 -0.889244084 -5.329857e-01
1728  0.878423658 -0.800453044 -1.047905e+00
1729  0.579405770 -1.536419933 -1.208307e-01
1730  1.524819759 -0.133148360 -1.427408e+00
1731  1.147683325 -0.265385336 -9.944025e-01
1732  0.813993950 -0.986212211 -4.040569e-01
1733  1.983866756 -0.738733685 -2.663395e-01
1734  0.979923450 -0.350228616 -7.561731e-01
1735  0.800190516 -0.986493169  1.755459e-01
1736  1.370437903 -0.932089222 -4.683333e-01
1737  0.417596037 -1.390541937 -5.391447e-01
1738  0.993034113 -1.235807084 -4.916517e-01
1739  0.977493111 -1.077400310  2.413201e-01
1740  0.940675149 -1.602185631  4.212172e-01
1741  1.214873717 -0.571591791 -1.084332e-01
1742  0.865587760 -0.225032576 -1.316964e+00
1743  2.058797819 -0.479466724 -2.159110e-01
1744  0.935303158 -1.185564311  1.889407e-01
1745  1.122070890  0.965733087 -3.262473e-01
1746  0.985271584 -1.035346654  2.303881e-01
1747  0.094923131 -0.629952189  5.542635e-01
1748  0.199462107  0.245021465  9.333758e-01
1749  0.094537040 -0.323414293  4.273851e-01
1750  0.139858534 -1.567518846  2.723621e-01
1751  0.505990011 -1.217659998  5.237892e-01
1752 -0.060488384 -1.467269422  8.344317e-01
1753  0.931615168 -0.596821112 -4.110791e-01
1754 -0.092784596 -1.385158670 -2.246919e-01
1755 -0.509201206 -1.561071822  3.520286e-01
1756  0.103638028 -0.796605369 -6.720965e-02
1757 -0.240093745 -0.673332728 -1.017537e+00
1758  0.463885895 -1.351767768 -4.313805e-01
1759  0.102921897  0.124973366  3.295227e-02
1760  0.554693935 -0.577634677 -5.541244e-01
1761 -0.513389795 -0.474477459  1.455502e+00
1762  0.403317435 -1.502812679 -3.841934e-01
1763  0.101231517 -0.640095142  4.189715e-01
1764  0.414307918 -0.284558123 -1.100311e+00
1765  0.380023844 -0.417794844 -3.512549e-01
1766  0.549442772 -0.388068685 -4.153261e-01
1767  0.290899086 -0.163534163 -2.308676e-01
1768  0.621591249 -0.170310337 -1.738862e+00
1769  0.478324858 -1.134361957 -3.823746e-01
1770  0.495769963 -0.229309170 -5.156590e-01
1771  0.514176973 -0.751146638 -8.024618e-01
1772  0.855625742 -1.225664175 -1.138565e-01
1773  0.915512251 -0.910166367  8.321564e-01
1774  0.434205506 -0.152630160  9.502057e-01
1775  0.851497779 -0.395033242 -7.248635e-01
1776 -0.651259150  2.168456575  2.977522e-01
1777 -0.254376336  1.204862703 -4.727537e-01
1778 -0.551222244  1.198702394  6.937726e-01
1779 -1.243486482  1.184065327  5.449653e-01
1780 -0.515067126  1.445925750  4.868382e-01
1781 -0.988719097  0.422586991 -3.455135e-01
1782 -1.211445060  1.689203950  1.431840e-01
1783 -0.885433895  1.143530274  2.602853e-01
1784 -0.769336406  1.113568992  6.304579e-01
1785 -0.474013977  0.621704286  7.551515e-01
1786  0.374274519 -1.260604067 -6.985256e-01
1787 -0.400703234  0.667304830  5.850720e-02
1788 -1.454004043  1.514698236 -1.676931e-02
1789 -0.687923544  1.410167828  9.440928e-02
1790 -0.301675949  0.581356508 -1.451541e-01
1791 -0.620753701  0.405539752 -8.963631e-02
1792 -0.370414003  1.057178225  2.255743e-01
1793 -0.574288069  1.146198557 -1.782279e-01
1794  0.014789788 -0.456162410 -4.326715e-01
1795  1.001335028  0.795711387 -1.507095e+00
1796  1.119938405 -0.128265064 -6.422235e-01
1797 -1.203272417  0.147311981 -2.878575e+00
1798  3.625377855  3.171289133 -4.036623e+00
1799  1.633121573 -0.148416466 -1.623928e+00
1800  0.177811849  1.016501952 -8.413749e-01
1801  0.934516074 -1.367637261 -1.374255e+00
1802  1.250137305 -0.041101870 -2.056787e+00
1803  0.523229785  0.396598052 -1.716513e+00
1804  0.717567991 -1.144135771 -1.698739e+00
1805  0.230228519 -0.263553092 -3.013065e-01
1806  0.473637932  0.418291013 -1.144244e+00
1807  0.829259023 -0.043212998 -1.709246e+00
1808  0.796787412  0.009055303 -1.406387e+00
1809  0.570364988 -0.081871107 -2.414982e+00
1810  1.575786792  0.274415028 -2.047278e+00
1811  0.883423283  0.554139929 -2.781437e+00
1812  0.042160730 -0.930406792 -1.007110e+00
1813  0.538472276 -0.482891127 -1.668524e+00
1814  0.553175000 -0.350735749 -2.037261e+00
1815  1.290958390  0.931502879 -2.035102e+00
1816  1.455995587 -0.014515684 -1.588066e+00
1817  0.107247783  0.196548665 -1.550224e+00
1818  0.813310420  0.037785508 -2.393772e+00
1819  1.066806202  0.164551047 -1.766714e+00
1820  2.128530964 -0.283065075 -2.098229e+00
1821  0.535955071 -0.168767593 -2.404411e+00
1822  2.311079796 -1.597653938 -2.729331e-01
1823  0.425541171 -0.527790772 -1.399372e+00
1824  2.304926108  0.518114379 -2.348392e+00
1825  1.055612560  0.214878511 -2.408036e+00
1826  0.949474329 -1.081731618 -1.401435e+00
1827  1.386527598  0.580125622 -2.299523e+00
1828  0.261079774  0.398255457 -1.433252e+00
1829  1.341957060  3.757522177 -1.128760e+00
1830  0.538139261  1.398944425 -2.563436e+00
1831  2.193830582  0.573237970 -2.789028e+00
1832  0.128629625  2.963045636 -1.294721e+00
1833 -0.239606907  2.166277362 -1.240849e+00
1834 -0.753385920  1.812847601 -1.362407e+00
1835  0.517855500  1.926907095 -1.417387e+00
1836  0.007641291  2.145971284 -1.851168e+00
1837 -0.509773342  1.093927037 -4.501806e-01
1838  0.203392544  2.918947808 -5.404545e-01
1839  0.743957833  3.063211455 -2.088857e+00
1840  0.097821877  2.697227684 -1.717411e+00
1841  0.163751180  2.327077836 -2.313575e+00
1842  3.000748625  2.171227500 -3.729889e+00
1843  0.201371401  2.430021121 -1.334722e+00
1844 -0.717186888  1.877757566 -6.795521e-01
1845 -0.827465495  1.427389408 -9.709229e-01
1846 -0.355283798  2.150244341 -1.522009e+00
1847  0.372326960  2.853534837 -2.728958e+00
1848 -1.183284339  1.529430810 -8.802912e-01
1849 -0.916430304  1.138804301  1.723997e-01
1850 -0.565060256  1.760630134 -7.438009e-01
1851 -1.750585805  2.231882678 -1.546187e-01
1852 -0.879253065  1.820153706  1.253525e+00
1853  1.021244505  0.150659219 -6.249027e-01
1854  0.532165475  1.516980926  9.337029e-02
1855 -0.013892302  1.390099625  9.964695e-02
1856 -0.221033132  1.019480775  7.276084e-01
1857 -0.061949351  0.804272403  6.499109e-01
1858  0.617924073  2.571288590  3.385360e-02
1859  0.924943906  1.887343341 -6.956036e-01
1860  0.625903188  2.210416607 -7.773424e-01
1861  0.170208382  0.553774908  4.967077e-01
1862 -0.537973214  0.726737021  1.230692e-01
1863  0.650455646  1.716041094  4.705084e-02
1864  1.171810714 -1.144640415 -2.846082e-01
1865 -0.658266079  0.065535254 -1.076216e-01
1866  0.428640882  1.176289753  7.449422e-01
1867  0.266948816  1.277073523  3.615429e-01
1868  0.340951114  0.340507989  3.868005e-02
1869  0.082167530  0.418420027  4.684882e-02
1870 -0.466531048  1.019894390  1.959370e-01
1871  0.046765356  0.944752445  8.798586e-02
1872  0.921407622  1.859840344  5.980204e-01
1873 -0.403780656  0.760344680  1.070767e+00
1874 -0.246874900  1.125637090  3.915591e-01
1875  1.443057968  0.299923353 -6.278344e-01
1876 -0.507006810  0.949600883  1.702475e-01
1877 -0.463620058  0.496544027  1.791320e-01
1878 -0.388709534  0.936598928  7.014437e-01
1879  0.551262905  1.640190894 -1.006694e-01
1880 -0.556218050  2.013660709  5.185205e-01
1881  0.388631003  1.757950026  1.298570e-01
1882 -0.159207193  1.115359331  4.067784e-01
1883 -0.766979645  0.940131088  6.943394e-01
1884 -0.813448097  2.065190233 -5.905707e-01
1885  0.149334147  2.071800458  6.085754e-01
1886  2.083877798 -0.258274371 -1.390348e+00
1887  0.078491517  1.498352216  6.074153e-01
1888 -0.139771527  1.715729046  5.457555e-01
1889 -0.760655701  1.302297922  1.160997e+00
1890 -0.536205965  1.435654519  7.685582e-01
1891 -0.035173982  2.010176771  1.066613e+00
1892 -1.391859141  1.435646631  1.165810e+00
1893 -0.373841201  2.971059992  3.572182e-01
1894  1.142548305  1.528397885  1.621759e+00
1895 -0.008508162  2.970901397  2.928274e-01
1896 -1.153698081  1.844268967  1.672385e+00
1897  2.910495603 -1.391017905  1.216452e+00
1898 -0.451063810  2.925041938  6.915906e-01
1899 -0.418555290  2.988589180  3.431477e-01
1900  0.110742510  2.312164797  5.266844e-01
1901 -0.239486670  2.153452203  4.678406e-01
1902 -0.379806005  2.408249543  1.321013e+00
1903  1.730189972  1.904930268  1.511298e+00
1904 -0.391712320  1.904084844  1.392958e+00
1905  0.255525378  3.003571539  5.163741e-01
1906 -0.040861468  2.151762828  1.304238e+00
1907 -1.071716008  1.677331218  4.063632e-01

p111 <- ggplot(data_new1, aes(x=PC1, y=PC2, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA1 Vs PCA2 by Actual Species") + xlab("PCA1") + ylab("PCA2") + theme(aspect.ratio = 1) 

p111

p121 <- ggplot(data_new1, aes(x=PC1, y=PC3, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA1 Vs PCA3 by Actual Species") + xlab("PCA1") + ylab("PCA3") + theme(aspect.ratio = 1) 

p121

p131 <- ggplot(data_new1, aes(x=PC1, y=PC4, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA1 Vs PCA4 by Actual Species") + xlab("PCA1") + ylab("PCA4") + theme(aspect.ratio = 1) 

p131

p141 <- ggplot(data_new1, aes(x=PC1, y=PC5, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA1 Vs PCA5 by Actual Species") + xlab("PCA1") + ylab("PCA5") + theme(aspect.ratio = 1) 

p141

p151 <- ggplot(data_new1, aes(x=PC2, y=PC3, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA2 Vs PCA3 by Actual Species") + xlab("PCA2") + ylab("PCA3") + theme(aspect.ratio = 1) 

p151

p161 <- ggplot(data_new1, aes(x=PC2, y=PC4, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA2 Vs PCA4 by Actual Species") + xlab("PCA2") + ylab("PCA4") + theme(aspect.ratio = 1) 

p161

p171 <- ggplot(data_new1, aes(x=PC2, y=PC5, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA2 Vs PCA5 by Actual Species") + xlab("PCA2") + ylab("PCA5") + theme(aspect.ratio = 1) 

p171

p181 <- ggplot(data_new1, aes(x=PC3, y=PC4, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA3 Vs PCA4 by Actual Species") + xlab("PCA3") + ylab("PCA4") + theme(aspect.ratio = 1) 

p181

p191 <- ggplot(data_new1, aes(x=PC3, y=PC5, col=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("PCA3 Vs PCA5 by Actual Species") + xlab("PCA3") + ylab("PCA5") + theme(aspect.ratio = 1) 

p191

p1h2 <- p111 + theme(legend.position = "none") + theme(plot.title = element_blank())

p2h2 <- p121 + theme(legend.position = "none") + theme(plot.title = element_blank())

p3h2 <- p131 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p4h2 <- p141 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p5h2 <- p151 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p6h2 <- p161 + theme(legend.position = "none") + theme(plot.title = element_blank())

p7h2 <- p171 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p8h2 <- p181 + theme(plot.title = element_blank()) + theme(legend.position = "none")

p9h2 <- p191 + theme(plot.title = element_blank())

p1h2 + p2h2 + p3h2 + p4h2 + p5h2 + p6h2 + p7h2 + p8h2 + p9h2 + plot_annotation(
  title = 'PCA with Actual Species',
  tag_levels = 'A'
) & theme(plot.tag = element_text(size = 5))

LDA1 <- lda(Species~ diameter + area + perimeter + physiological_length + physiological_width + aspect_ratio + rectangularity + circularity + compactness + NF + Perimeter_ratio_diameter + Perimeter_ratio_length + Perimeter_ratio_lw + No_of_Convex_points + perimeter_convexity + area_convexity + area_ratio_convexity + equivalent_diameter + contrast + correlation_texture + inverse_difference_moments + entropy + cx + cy + eccentriciry + Mean_R_val + Mean_G_val + Mean_B_val + Std_R_val + Std_G_val + Std_B_val + correlation  + Skewed_polar + Clumpy_polar + Sparse_polar + Striated_polar + Convex_polar + Skinny_polar + Stringy_polar + Monotonic_polar +  Skewed_contour + Clumpy_contour + Sparse_contour + Striated_contour + Convex_contour + Skinny_contour + Stringy_contour + Monotonic_contour + No_of_max_ponits + No_of_min_points, data= data_new1)

## LDA data

LDA1

Call:
lda(Species ~ diameter + area + perimeter + physiological_length + 
    physiological_width + aspect_ratio + rectangularity + circularity + 
    compactness + NF + Perimeter_ratio_diameter + Perimeter_ratio_length + 
    Perimeter_ratio_lw + No_of_Convex_points + perimeter_convexity + 
    area_convexity + area_ratio_convexity + equivalent_diameter + 
    contrast + correlation_texture + inverse_difference_moments + 
    entropy + cx + cy + eccentriciry + Mean_R_val + Mean_G_val + 
    Mean_B_val + Std_R_val + Std_G_val + Std_B_val + correlation + 
    Skewed_polar + Clumpy_polar + Sparse_polar + Striated_polar + 
    Convex_polar + Skinny_polar + Stringy_polar + Monotonic_polar + 
    Skewed_contour + Clumpy_contour + Sparse_contour + Striated_contour + 
    Convex_contour + Skinny_contour + Stringy_contour + Monotonic_contour + 
    No_of_max_ponits + No_of_min_points, data = data_new1)

Prior probabilities of groups:
           Anhui Barberry          Beale's Barberry         Big-fruited Holly 
               0.03408495                0.02884111                0.02621919 
              Camphortree           Canadian Poplar             Castor Aralia 
               0.03408495                0.03356057                0.02726796 
         Chinese Cinnamon    Chinese Horse Chestnut            Chinese Redbud 
               0.02884111                0.03303618                0.03775564 
             Chinese Toon        Chinese Tulip Tree              Crape Myrtle 
               0.03408495                0.02779234                0.03198741 
                   Deodar            Ford Woodlotus    Ginkgo Maidenhair Tree 
               0.04037756                0.02726796                0.03251180 
            Glossy Privet           Goldenrain Tree       Japanese Cheesewood 
               0.02884111                0.03093865                0.03303618 
Japanese Flowering Cherry            Japanese Maple         Japanese Viburnum 
               0.02884111                0.02936550                0.03146303 
                    Nanmu                  Oleander                     Peach 
               0.03251180                0.03460933                0.02831673 
         Pubescent Bamboo         Southern Magnolia           Sweet Osmanthus 
               0.03093865                0.02988988                0.02936550 
                Tangerine             Trident Maple               True Indigo 
               0.02936550                0.02779234                0.03828002 
              Wintersweet             Yew Plum Pine 
               0.02726796                0.03146303 

Group means:
                           diameter       area perimeter physiological_length
Anhui Barberry            1210.4693  299157.55  2732.682            1208.9492
Beale's Barberry          1433.0942  854612.99  4050.123            1332.5391
Big-fruited Holly         1425.9738  873601.34  3767.907            1396.3200
Camphortree               1505.2186  710172.08  3672.645            1375.1540
Canadian Poplar           1209.0050  841130.73  3789.932            1161.3438
Castor Aralia             1266.3528  694890.38  4619.246            1217.5769
Chinese Cinnamon          1446.6978  470266.25  3315.269            1444.3632
Chinese Horse Chestnut    1650.6166  701985.16  3857.623            1645.1936
Chinese Redbud            1149.8211  843912.58  3630.456            1120.5556
Chinese Toon              1618.0869  464378.28  3769.924            1614.1656
Chinese Tulip Tree        1208.8605  788089.67  4287.364            1186.4528
Crape Myrtle              1431.2972 1011112.32  3920.815            1429.1311
Deodar                    1685.3649   62264.89  3592.814            1685.3199
Ford Woodlotus            1664.3099  519733.61  3757.783            1662.2259
Ginkgo Maidenhair Tree    1495.2715  851157.47  4126.297            1425.3202
Glossy Privet             1625.2019  865972.98  3970.021            1588.4813
Goldenrain Tree           1265.6219  481313.12  3270.824            1260.4091
Japanese Cheesewood       1408.8939  583950.76  3470.144            1403.5934
Japanese Flowering Cherry 1601.1727  764763.96  3905.915            1530.7605
Japanese Maple            1139.8694  440159.85  5282.784            1103.3393
Japanese Viburnum         1717.4515  808794.53  4055.822            1714.1477
Nanmu                     1544.1890  489624.06  3505.292            1537.2154
Oleander                  1755.0403  391216.54  3822.189            1754.5206
Peach                     1678.5996  544147.25  3779.911            1675.3183
Pubescent Bamboo          1601.8726  284091.53  3494.187            1601.4585
Southern Magnolia         1706.1255  815950.47  4065.120            1701.7070
Sweet Osmanthus           1664.9420  820998.31  4010.749            1651.8007
Tangerine                 1792.3470  732690.75  4273.965            1766.1984
Trident Maple             1189.5905  526538.00  4161.902            1167.0566
True Indigo                929.6057  330551.78  2355.844             926.9951
Wintersweet               1577.3063  837835.68  3920.520            1555.6562
Yew Plum Pine             1602.0363  230599.79  3461.384            1601.7500
                          physiological_width aspect_ratio rectangularity
Anhui Barberry                      346.92773   0.28607398      0.7017796
Beale's Barberry                    942.96372   0.71281679      0.6801039
Big-fruited Holly                   899.68000   0.64626133      0.6939366
Camphortree                         789.45857   0.58684593      0.6584317
Canadian Poplar                    1080.64062   0.93484664      0.6680425
Castor Aralia                      1037.61538   0.85781374      0.5505709
Chinese Cinnamon                    479.71767   0.33273163      0.6711923
Chinese Horse Chestnut              622.90115   0.37823850      0.6809870
Chinese Redbud                     1054.13889   0.94521408      0.7143623
Chinese Toon                        457.99972   0.28534326      0.6293702
Chinese Tulip Tree                 1042.16981   0.88501479      0.6378076
Crape Myrtle                        960.31148   0.67367063      0.7368652
Deodar                               57.68613   0.03423439      0.6647078
Ford Woodlotus                      433.66758   0.26085324      0.7196922
Ginkgo Maidenhair Tree              864.83238   0.61173865      0.6923388
Glossy Privet                       789.76373   0.50386432      0.6935218
Goldenrain Tree                     596.84570   0.47735191      0.6363171
Japanese Cheesewood                 647.16369   0.46269493      0.6414778
Japanese Flowering Cherry           783.86901   0.52227982      0.6380866
Japanese Maple                     1018.94643   0.92953376      0.3904538
Japanese Viburnum                   687.57491   0.40265638      0.6855089
Nanmu                               493.08576   0.32136516      0.6422442
Oleander                            314.21436   0.17911030      0.7092030
Peach                               484.52556   0.29045973      0.6694750
Pubescent Bamboo                    243.92337   0.15280506      0.7299367
Southern Magnolia                   685.72430   0.40387382      0.6995198
Sweet Osmanthus                     713.69122   0.43275100      0.6945472
Tangerine                           680.42275   0.38677315      0.6106305
Trident Maple                      1066.35849   0.92283938      0.4268031
True Indigo                         430.57107   0.46671087      0.8121826
Wintersweet                         812.36953   0.52584962      0.6631827
Yew Plum Pine                       190.50141   0.11882267      0.7519195
                          circularity compactness        NF
Anhui Barberry             0.49186756    26.26364  3.632453
Beale's Barberry           0.65372933    19.29224  1.526243
Big-fruited Holly          0.76976647    16.36240  1.597173
Camphortree                0.65698168    19.20233  1.949924
Canadian Poplar            0.73310946    17.19860  1.118817
Castor Aralia              0.41138820    30.83128  1.221061
Chinese Cinnamon           0.53064852    23.96600  3.064739
Chinese Horse Chestnut     0.58824719    21.41593  2.662339
Chinese Redbud             0.80292565    15.65916  1.090631
Chinese Toon               0.41204626    31.01567  3.573166
Chinese Tulip Tree         0.54633823    23.47261  1.161775
Crape Myrtle               0.82522657    15.24156  1.496976
Deodar                     0.06072085   208.52241 30.320038
Ford Woodlotus             0.46409985    27.79746  3.899515
Ginkgo Maidenhair Tree     0.62911909    20.06954  1.738683
Glossy Privet              0.68960012    18.27246  2.079879
Goldenrain Tree            0.56201463    22.45088  2.128499
Japanese Cheesewood        0.60732522    20.82083  2.197087
Japanese Flowering Cherry  0.62753922    20.20158  2.072457
Japanese Maple             0.19826591    64.02721  1.119237
Japanese Viburnum          0.61734185    20.46444  2.510185
Nanmu                      0.49761503    25.34830  3.147261
Oleander                   0.33606019    37.69108  5.633759
Peach                      0.47874580    26.49268  3.492340
Pubescent Bamboo           0.28987904    45.34373  7.048876
Southern Magnolia          0.62077780    20.37695  2.506065
Sweet Osmanthus            0.63932349    19.70788  2.338060
Tangerine                  0.50300722    25.08207  2.660420
Trident Maple              0.38653393    33.40560  1.116361
True Indigo                0.73268183    17.17421  2.165179
Wintersweet                0.68595396    18.39480  1.947427
Yew Plum Pine              0.24026764    52.99488  8.522294
                          Perimeter_ratio_diameter Perimeter_ratio_length
Anhui Barberry                            2.256710               8.163918
Beale's Barberry                          2.827026               4.309411
Big-fruited Holly                         2.644635               4.212373
Camphortree                               2.440211               4.740734
Canadian Poplar                           3.140418               3.507478
Castor Aralia                             3.647834               4.449977
Chinese Cinnamon                          2.292495               7.011249
Chinese Horse Chestnut                    2.336916               6.219318
Chinese Redbud                            3.163543               3.444195
Chinese Toon                              2.332771               8.309397
Chinese Tulip Tree                        3.542525               4.112644
Crape Myrtle                              2.742138               4.093492
Deodar                                    2.132036              64.639992
Ford Woodlotus                            2.257046               8.800682
Ginkgo Maidenhair Tree                    2.760188               4.798116
Glossy Privet                             2.444781               5.072351
Goldenrain Tree                           2.591818               5.493898
Japanese Cheesewood                       2.465718               5.400922
Japanese Flowering Cherry                 2.446896               5.043299
Japanese Maple                            4.637890               5.186778
Japanese Viburnum                         2.363683               5.922545
Nanmu                                     2.270082               7.139184
Oleander                                  2.177920              12.265112
Peach                                     2.252614               7.857690
Pubescent Bamboo                          2.181247              15.318848
Southern Magnolia                         2.384355               5.961275
Sweet Osmanthus                           2.409226               5.629583
Tangerine                                 2.385220               6.332351
Trident Maple                             3.500864               3.903601
True Indigo                               2.538380               5.487079
Wintersweet                               2.489941               4.836064
Yew Plum Pine                             2.160481              18.402307
                          Perimeter_ratio_lw No_of_Convex_points
Anhui Barberry                      1.758418            76.60000
Beale's Barberry                    1.780059            55.60000
Big-fruited Holly                   1.640525            98.22000
Camphortree                         1.696524            91.47692
Canadian Poplar                     1.690472            56.82812
Castor Aralia                       2.046679            34.86538
Chinese Cinnamon                    1.724013            95.60000
Chinese Horse Chestnut              1.701447            85.23810
Chinese Redbud                      1.670238           123.87500
Chinese Toon                        1.819671            57.35385
Chinese Tulip Tree                  1.920175            82.58491
Crape Myrtle                        1.640907           142.68852
Deodar                              2.061607            55.09091
Ford Woodlotus                      1.793550           118.53846
Ginkgo Maidenhair Tree              1.801605            77.25806
Glossy Privet                       1.669444           115.89091
Goldenrain Tree                     1.761176            55.11864
Japanese Cheesewood                 1.692204           103.60317
Japanese Flowering Cherry           1.687063            72.61818
Japanese Maple                      2.490094            27.03571
Japanese Viburnum                   1.688797            90.50000
Nanmu                               1.726256            92.62903
Oleander                            1.847901           103.74242
Peach                               1.749653            76.40741
Pubescent Bamboo                    1.894117            83.77966
Southern Magnolia                   1.703048           150.56140
Sweet Osmanthus                     1.695578            78.92857
Tangerine                           1.746920            76.87500
Trident Maple                       1.862916            52.11321
True Indigo                         1.736042           126.02740
Wintersweet                         1.654805           120.46154
Yew Plum Pine                       1.931529            90.73333
                          perimeter_convexity area_convexity
Anhui Barberry                      0.9485984    0.017306342
Beale's Barberry                    0.9080351    0.105343651
Big-fruited Holly                   0.9438417    0.016433349
Camphortree                         0.9415666    0.027151168
Canadian Poplar                     0.9300192    0.046984297
Castor Aralia                       0.7807285    0.358087215
Chinese Cinnamon                    0.9454345    0.021353955
Chinese Horse Chestnut              0.9433949    0.021744394
Chinese Redbud                      0.9353978    0.030868505
Chinese Toon                        0.9368095    0.090895816
Chinese Tulip Tree                  0.8349192    0.199992377
Crape Myrtle                        0.9470602    0.004892056
Deodar                              0.9444575    0.283301187
Ford Woodlotus                      0.9428251    0.013922521
Ginkgo Maidenhair Tree              0.9092492    0.084598865
Glossy Privet                       0.9455646    0.012287395
Goldenrain Tree                     0.8995273    0.057645841
Japanese Cheesewood                 0.9389738    0.019992531
Japanese Flowering Cherry           0.9401135    0.044397268
Japanese Maple                      0.6365079    0.888281050
Japanese Viburnum                   0.9427700    0.013918685
Nanmu                               0.9466333    0.028729117
Oleander                            0.9483439    0.009870293
Peach                               0.9462727    0.020442755
Pubescent Bamboo                    0.9469054    0.023253932
Southern Magnolia                   0.9430685    0.006159343
Sweet Osmanthus                     0.9395803    0.021904753
Tangerine                           0.9189166    0.068345024
Trident Maple                       0.8075712    0.495830538
True Indigo                         0.9522487    0.004134379
Wintersweet                         0.9451511    0.018393999
Yew Plum Pine                       0.9469046    0.033662004
                          area_ratio_convexity equivalent_diameter   contrast
Anhui Barberry                       0.9830506            609.8451   5.909599
Beale's Barberry                     0.9052559           1041.0930  26.586107
Big-fruited Holly                    0.9838551           1051.9362  21.286455
Camphortree                          0.9736623            947.4033  50.034211
Canadian Poplar                      0.9555057           1032.6290  26.383297
Castor Aralia                        0.7372932            939.2189  24.108601
Chinese Cinnamon                     0.9792078            767.7708  20.211415
Chinese Horse Chestnut               0.9787723            941.9197  21.234597
Chinese Redbud                       0.9701182           1035.3702  31.153752
Chinese Toon                         0.9207387            767.5703  14.366320
Chinese Tulip Tree                   0.8349836            999.6909  17.414058
Crape Myrtle                         0.9951352           1133.6363   5.196045
Deodar                               0.7980208            281.2627   5.383653
Ford Woodlotus                       0.9869547            810.7787  26.451902
Ginkgo Maidenhair Tree               0.9225202           1039.8628  13.306453
Glossy Privet                        0.9878789           1048.7888   4.078733
Goldenrain Tree                      0.9456013            779.1494  13.395168
Japanese Cheesewood                  0.9804551            859.9785  56.013746
Japanese Flowering Cherry            0.9577706            982.7013  35.233617
Japanese Maple                       0.5313733            746.5745  21.889568
Japanese Viburnum                    0.9862969           1013.0376 100.141046
Nanmu                                0.9723042            786.5867  18.366151
Oleander                             0.9902822            704.7200  19.143178
Peach                                0.9800536            830.4038  33.742947
Pubescent Bamboo                     0.9774430            595.8055  13.427607
Southern Magnolia                    0.9939195           1018.2204  87.721178
Sweet Osmanthus                      0.9786465           1020.4845  38.689359
Tangerine                            0.9361365            964.5742  54.288942
Trident Maple                        0.6733656            817.1272  19.853183
True Indigo                          0.9958834            641.2452   8.684199
Wintersweet                          0.9819806           1031.3870  26.389944
Yew Plum Pine                        0.9688871            539.6981  11.643362
                          correlation_texture inverse_difference_moments
Anhui Barberry                      0.9988688                  0.8737352
Beale's Barberry                    0.9973789                  0.6415734
Big-fruited Holly                   0.9973314                  0.6444463
Camphortree                         0.9951894                  0.6670572
Canadian Poplar                     0.9980357                  0.6880924
Castor Aralia                       0.9965020                  0.6962431
Chinese Cinnamon                    0.9970799                  0.7905863
Chinese Horse Chestnut              0.9977221                  0.6947647
Chinese Redbud                      0.9967597                  0.6336923
Chinese Toon                        0.9980048                  0.8039660
Chinese Tulip Tree                  0.9981574                  0.7106433
Crape Myrtle                        0.9990337                  0.6748499
Deodar                              0.9949267                  0.9653988
Ford Woodlotus                      0.9972278                  0.7665851
Ginkgo Maidenhair Tree              0.9984058                  0.6643579
Glossy Privet                       0.9992771                  0.7488941
Goldenrain Tree                     0.9967894                  0.7953900
Japanese Cheesewood                 0.9946846                  0.7297021
Japanese Flowering Cherry           0.9962273                  0.6786712
Japanese Maple                      0.9962831                  0.8015501
Japanese Viburnum                   0.9940956                  0.6271562
Nanmu                               0.9971606                  0.7856103
Oleander                            0.9972164                  0.8206283
Peach                               0.9954590                  0.7596517
Pubescent Bamboo                    0.9980045                  0.8721195
Southern Magnolia                   0.9943693                  0.6450050
Sweet Osmanthus                     0.9958056                  0.6356835
Tangerine                           0.9952972                  0.6701514
Trident Maple                       0.9977382                  0.7740944
True Indigo                         0.9989810                  0.8683003
Wintersweet                         0.9972321                  0.6552239
Yew Plum Pine                       0.9975071                  0.8951610
                            entropy       cx       cy eccentriciry Mean_R_val
Anhui Barberry            2.4376777 793.6755 541.4463    0.9543640  16.506117
Beale's Barberry          6.1953698 738.5823 591.5111    0.7655050  31.833391
Big-fruited Holly         6.1417977 749.0979 585.2003    0.7609571  30.842380
Camphortree               5.6543077 734.8838 583.0358    0.8465616 136.012499
Canadian Poplar           5.6447616 818.5959 590.4921    0.3941592  69.125270
Castor Aralia             4.9544580 712.3455 446.0078    0.5072007  24.643235
Chinese Cinnamon          3.5713725 792.0515 559.1319    0.9350939  16.671723
Chinese Horse Chestnut    4.9689927 806.0333 570.8849    0.9163399  14.608477
Chinese Redbud            5.8108638 776.8248 573.6455    0.3736412  29.293035
Chinese Toon              3.4365437 693.3081 575.9130    0.9629200   9.464932
Chinese Tulip Tree        5.3666513 752.5662 563.9867    0.3474428  23.788292
Crape Myrtle              5.9315171 799.5259 595.4501    0.7269899  41.551193
Deodar                    0.7530841 799.3582 572.4891    0.9993356   4.379086
Ford Woodlotus            4.2959613 781.8380 595.6132    0.9624061  16.435672
Ginkgo Maidenhair Tree    5.4233741 815.6989 574.1365    0.8236724  22.671046
Glossy Privet             4.9508351 780.3935 578.2466    0.8658880  38.194986
Goldenrain Tree           3.5142467 726.5396 487.3408    0.8771019  14.820185
Japanese Cheesewood       4.7981814 925.3462 536.4492    0.8935878  18.753920
Japanese Flowering Cherry 5.2457178 725.4491 562.0536    0.8584124  19.563700
Japanese Maple            3.4740899 691.5606 549.0306    0.4230377  17.228615
Japanese Viburnum         6.4298871 799.7854 580.6540    0.9056873  73.568878
Nanmu                     3.6579053 808.3600 578.4821    0.9408231  19.723994
Oleander                  3.1370187 819.4770 613.8983    0.9827761  15.644145
Peach                     4.2226294 741.6531 574.5115    0.9521683  10.722783
Pubescent Bamboo          2.3323386 868.7095 598.1963    0.9883205   7.290380
Southern Magnolia         6.2970042 847.9197 598.0000    0.9078717  17.769832
Sweet Osmanthus           6.1398550 773.4034 575.5652    0.8911438  74.720623
Tangerine                 5.5972045 819.4682 615.1174    0.9189412  24.295495
Trident Maple             3.9746484 773.2814 693.4610    0.4270573  16.064592
True Indigo               2.3737190 755.3681 556.7979    0.8771860   6.687622
Wintersweet               5.6165636 696.6873 575.9664    0.8427716  27.071525
Yew Plum Pine             2.0239317 782.6806 590.5345    0.9931764   8.863241
                          Mean_G_val Mean_B_val Std_R_val Std_G_val Std_B_val
Anhui Barberry             25.062690  17.546913  42.51708  56.30699  43.04073
Beale's Barberry           66.473000  40.352760  42.84963  74.68807  50.73008
Big-fruited Holly          77.952935  43.258402  39.95307  84.30196  51.17768
Camphortree               183.762016 149.613752  94.77431  55.70306  85.58110
Canadian Poplar           107.106811  80.223897  56.57857  63.90860  58.20337
Castor Aralia              66.428179  36.664686  35.98021  86.71715  50.05404
Chinese Cinnamon           39.809098  23.638811  32.10084  68.38418  42.91098
Chinese Horse Chestnut     61.551356  27.437402  25.82704  79.61739  39.37089
Chinese Redbud             67.509664  37.228584  36.95071  75.61630  44.83775
Chinese Toon               41.669116  20.698305  25.94140  72.54848  39.64892
Chinese Tulip Tree         71.252764  40.795271  35.81844  79.98713  49.02706
Crape Myrtle              110.477691  59.133711  42.22305 101.13549  56.28024
Deodar                      6.395471   4.987443  26.67285  33.50009  27.93560
Ford Woodlotus             38.295145  20.861456  36.60600  63.45076  42.28910
Ginkgo Maidenhair Tree     77.872705  42.571716  30.44197  85.73883  49.03222
Glossy Privet              86.682066  47.187328  44.90948  94.18429  52.92032
Goldenrain Tree            52.109194  25.368702  28.62282  90.59093  44.81259
Japanese Cheesewood        49.015848  27.310063  34.35609  67.51124  45.65403
Japanese Flowering Cherry  64.822280  33.046341  30.34038  77.23804  42.54129
Japanese Maple             40.912607  22.141701  35.97483  73.60367  43.31642
Japanese Viburnum         102.485070  77.888395  66.19705  68.65897  68.28843
Nanmu                      42.294355  25.498642  35.47384  71.02049  44.52599
Oleander                   29.751974  18.879582  33.71748  58.79012  39.75935
Peach                      50.711525  24.217657  25.81515  80.23958  42.19156
Pubescent Bamboo           20.674647  10.412445  26.15443  48.65833  29.53761
Southern Magnolia          53.735273  25.737826  38.55910  66.37592  48.58331
Sweet Osmanthus           124.000014  88.491962  63.29680  67.24346  64.71293
Tangerine                  61.372978  36.471314  36.46001  68.08423  45.76830
Trident Maple              41.660315  22.081457  31.58392  67.42792  39.50151
True Indigo                21.877263   8.767352  19.09043  45.31803  21.67421
Wintersweet                67.131196  38.334145  35.46000  75.90805  46.50497
Yew Plum Pine              18.154294  10.899894  28.33731  48.68450  32.25617
                           correlation Skewed_polar Clumpy_polar Sparse_polar
Anhui Barberry             0.560172119    0.5053417  0.014536265   0.01488333
Beale's Barberry           0.510240354    0.4978562  0.012166047   0.01593485
Big-fruited Holly          0.838216198    0.5358426  0.009179619   0.01530131
Camphortree                0.021306692    0.4980304  0.011917428   0.01448848
Canadian Poplar            0.685107776    0.5014156  0.009112524   0.01537553
Castor Aralia             -0.517532864    0.4939231  0.011054927   0.01539927
Chinese Cinnamon           0.314858745    0.4925361  0.012775139   0.01461270
Chinese Horse Chestnut     0.512850842    0.5168750  0.013702011   0.01559809
Chinese Redbud             0.216182430    0.5027659  0.008836318   0.01597089
Chinese Toon               0.167522999    0.4975443  0.010824982   0.01548459
Chinese Tulip Tree         0.106960412    0.4954989  0.012578554   0.01565558
Crape Myrtle               0.393457168    0.5059986  0.009314787   0.01555086
Deodar                    -0.008783213    0.4925913  0.011669669   0.01449538
Ford Woodlotus             0.617834551    0.4996612  0.009623453   0.01610590
Ginkgo Maidenhair Tree     0.006222800    0.4989050  0.014317931   0.01617104
Glossy Privet              0.368978231    0.5171540  0.009425876   0.01458187
Goldenrain Tree            0.368486788    0.5036334  0.017420977   0.01610666
Japanese Cheesewood        0.689747044    0.5170471  0.007939031   0.01530690
Japanese Flowering Cherry  0.719793035    0.5052592  0.009344515   0.01512951
Japanese Maple            -0.131536666    0.4927817  0.009655122   0.01546755
Japanese Viburnum          0.028598294    0.4895854  0.010506120   0.01452763
Nanmu                      0.302489059    0.5030340  0.015442763   0.01535409
Oleander                   0.001997076    0.5049132  0.012565772   0.01453433
Peach                      0.021610078    0.4893333  0.012987564   0.01595967
Pubescent Bamboo           0.392902651    0.5007077  0.010307127   0.01513834
Southern Magnolia          0.352924041    0.4926205  0.010394388   0.01587598
Sweet Osmanthus           -0.014330761    0.4892154  0.009276317   0.01447632
Tangerine                  0.025826024    0.4870801  0.013304245   0.01588819
Trident Maple              0.687132567    0.5062280  0.012279932   0.01560940
True Indigo                0.448101419    0.5061377  0.011914550   0.01584845
Wintersweet                0.119783488    0.5086420  0.013014438   0.01481357
Yew Plum Pine              0.001624721    0.4925911  0.011026342   0.01573013
                          Striated_polar Convex_polar Skinny_polar
Anhui Barberry                 0.9230381 0.0031198167    0.6760729
Beale's Barberry               0.9259243 0.0053105522    0.5562908
Big-fruited Holly              0.8376478 0.0074805022    0.7382131
Camphortree                    0.9366149 0.0018218302    0.5205359
Canadian Poplar                0.9370092 0.0035235055    0.5672312
Castor Aralia                  0.9413535 0.0041883494    0.5150132
Chinese Cinnamon               0.9549026 0.0013459109    0.5763151
Chinese Horse Chestnut         0.9145457 0.0049337557    0.6230699
Chinese Redbud                 0.9316845 0.0055545735    0.4883640
Chinese Toon                   0.9475627 0.0032155823    0.6515281
Chinese Tulip Tree             0.9467682 0.0025184607    0.5715831
Crape Myrtle                   0.9415124 0.0025680957    0.5984614
Deodar                         0.9672293 0.0011937336    0.5434730
Ford Woodlotus                 0.9223606 0.0056393677    0.6185276
Ginkgo Maidenhair Tree         0.9234737 0.0048009724    0.6587429
Glossy Privet                  0.9521103 0.0013339961    0.6084278
Goldenrain Tree                0.9327697 0.0047233775    0.5785702
Japanese Cheesewood            0.8917026 0.0082595130    0.7027576
Japanese Flowering Cherry      0.9410269 0.0028905497    0.6291301
Japanese Maple                 0.9374057 0.0046165240    0.5123172
Japanese Viburnum              0.9690667 0.0010676042    0.4822709
Nanmu                          0.9298493 0.0028375821    0.6644595
Oleander                       0.9593802 0.0012006273    0.5375366
Peach                          0.9546393 0.0040121670    0.8067441
Pubescent Bamboo               0.9468292 0.0025528198    0.5527376
Southern Magnolia              0.9320649 0.0062489669    0.5212066
Sweet Osmanthus                0.9717105 0.0008315635    0.2173727
Tangerine                      0.9399286 0.0053185480    0.4817601
Trident Maple                  0.9284274 0.0038338469    0.6231619
True Indigo                    0.9401006 0.0031101869    0.5997988
Wintersweet                    0.9216997 0.0022907272    0.7112227
Yew Plum Pine                  0.9514364 0.0016478554    0.6219490
                          Stringy_polar Monotonic_polar Skewed_contour
Anhui Barberry                0.9733998     0.064671298      0.5122071
Beale's Barberry              0.9772238     0.238985642      0.5055310
Big-fruited Holly             0.9591493     0.195651270      0.4985249
Camphortree                   0.9886983     0.155798786      0.5256489
Canadian Poplar               0.9793157     0.128634130      0.5004277
Castor Aralia                 0.9849146     0.119677830      0.5079701
Chinese Cinnamon              0.9891156     0.075462248      0.4974487
Chinese Horse Chestnut        0.9742257     0.158787779      0.5044699
Chinese Redbud                0.9734828     0.109245699      0.5101107
Chinese Toon                  0.9842824     0.152362207      0.4989147
Chinese Tulip Tree            0.9846562     0.073786011      0.4974944
Crape Myrtle                  0.9866935     0.126538935      0.4929117
Deodar                        0.9965257     0.082050501      0.5050805
Ford Woodlotus                0.9773694     0.077494142      0.4940372
Ginkgo Maidenhair Tree        0.9887195     0.033773297      0.5059302
Glossy Privet                 0.9912103     0.087983861      0.4945476
Goldenrain Tree               0.9827003     0.058429560      0.5037914
Japanese Cheesewood           0.9661922     0.275468167      0.4993464
Japanese Flowering Cherry     0.9865236     0.187112038      0.4923723
Japanese Maple                0.9784512     0.141001895      0.5014183
Japanese Viburnum             0.9951212     0.270196874      0.4889707
Nanmu                         0.9885979     0.047640466      0.5019321
Oleander                      0.9919131     0.021504855      0.5028158
Peach                         0.9872228     0.245960165      0.4925348
Pubescent Bamboo              0.9846714     0.083461280      0.5047050
Southern Magnolia             0.9788898     0.275918308      0.5040312
Sweet Osmanthus               0.9938406     0.190010375      0.4933684
Tangerine                     0.9878961     0.509207775      0.5156485
Trident Maple                 0.9761963     0.115686374      0.4947196
True Indigo                   0.9834558     0.117241595      0.4937671
Wintersweet                   0.9882453     0.156153304      0.5267166
Yew Plum Pine                 0.9948363     0.009180845      0.4998992
                          Clumpy_contour Sparse_contour Striated_contour
Anhui Barberry                0.01537481     0.01448769        0.9493896
Beale's Barberry              0.01352695     0.01529766        0.9487553
Big-fruited Holly             0.01704539     0.01562527        0.9273737
Camphortree                   0.01687500     0.01448795        0.9261394
Canadian Poplar               0.01316246     0.01446901        0.9634552
Castor Aralia                 0.01210457     0.01589791        0.9438520
Chinese Cinnamon              0.01387680     0.01448280        0.9640484
Chinese Horse Chestnut        0.01430665     0.01493830        0.9491471
Chinese Redbud                0.01596121     0.01592860        0.9467847
Chinese Toon                  0.01260211     0.01540699        0.9588537
Chinese Tulip Tree            0.01927435     0.01451642        0.9704989
Crape Myrtle                  0.01482883     0.01444150        0.9608437
Deodar                        0.01286596     0.01446400        0.9713821
Ford Woodlotus                0.01472478     0.01594427        0.9386392
Ginkgo Maidenhair Tree        0.01294759     0.01445045        0.9377000
Glossy Privet                 0.01323592     0.01442365        0.9687778
Goldenrain Tree               0.01608090     0.01568329        0.9426135
Japanese Cheesewood           0.01755343     0.01519121        0.9377571
Japanese Flowering Cherry     0.01464783     0.01474646        0.9584397
Japanese Maple                0.01450710     0.01577904        0.9480384
Japanese Viburnum             0.01453643     0.01438603        0.9775513
Nanmu                         0.01434295     0.01496509        0.9399237
Oleander                      0.01415574     0.01437634        0.9740904
Peach                         0.01372412     0.01592817        0.9510623
Pubescent Bamboo              0.01448619     0.01447853        0.9681023
Southern Magnolia             0.01526396     0.01583705        0.9432642
Sweet Osmanthus               0.01582853     0.01444032        0.9771727
Tangerine                     0.01627492     0.01594451        0.9321033
Trident Maple                 0.01429590     0.01473383        0.9588854
True Indigo                   0.01275730     0.01468003        0.9606640
Wintersweet                   0.01645211     0.01447651        0.9058160
Yew Plum Pine                 0.01370048     0.01517885        0.9627796
                          Convex_contour Skinny_contour Stringy_contour
Anhui Barberry              0.0012358743      0.6132182       0.9988368
Beale's Barberry            0.0041844220      0.5600309       0.9861924
Big-fruited Holly           0.3614050276      0.6914175       0.9755906
Camphortree                 0.0009125669      0.6380850       0.9979325
Canadian Poplar             0.0036555221      0.4329648       0.9968364
Castor Aralia               0.0040507801      0.4887546       0.9845807
Chinese Cinnamon            0.0005108887      0.6618769       0.9979709
Chinese Horse Chestnut      0.0035897587      0.4685982       0.9889292
Chinese Redbud              0.0042279812      0.3878117       0.9852623
Chinese Toon                0.0027978114      0.5834142       0.9889892
Chinese Tulip Tree          0.0010838487      0.5644063       0.9951068
Crape Myrtle                0.0014864624      0.5323237       0.9985276
Deodar                      0.0010055013      0.6408151       0.9976981
Ford Woodlotus              0.0049087251      0.4350000       0.9836090
Ginkgo Maidenhair Tree      0.0034822713      0.6571964       0.9948641
Glossy Privet               0.0025619281      0.3726571       0.9938175
Goldenrain Tree             0.0035018127      0.5793557       0.9868798
Japanese Cheesewood         0.2460045200      0.6844860       0.9852245
Japanese Flowering Cherry   0.0036427847      0.4615426       0.9898437
Japanese Maple              0.0040437650      0.4717006       0.9877476
Japanese Viburnum           0.0002494316      0.6397971       0.9986979
Nanmu                       0.0024403664      0.6389737       0.9969676
Oleander                    0.0006928467      0.5223676       0.9968332
Peach                       0.0035373748      0.7575019       0.9855943
Pubescent Bamboo            0.0014646761      0.5970368       0.9949830
Southern Magnolia           0.0046613855      0.5107768       0.9841054
Sweet Osmanthus             0.0002548579      0.6147363       0.9983046
Tangerine                   0.0036699442      0.8143389       0.9866177
Trident Maple               0.0028079338      0.4970695       0.9964882
True Indigo                 0.0017608531      0.4943015       0.9968006
Wintersweet                 0.0013595138      0.7307022       0.9962758
Yew Plum Pine               0.0007175030      0.6296657       0.9990310
                          Monotonic_contour No_of_max_ponits No_of_min_points
Anhui Barberry                 0.3568991771         1.476923         1.369231
Beale's Barberry               0.3951667976         1.509091         1.527273
Big-fruited Holly              0.7963802072         1.680000         1.740000
Camphortree                    0.0033557634         1.707692         2.830769
Canadian Poplar                0.5598284593         1.390625         1.421875
Castor Aralia                  0.2919518205         4.000000         5.076923
Chinese Cinnamon               0.2721831588         1.672727         1.636364
Chinese Horse Chestnut         0.5032260978         2.063492         2.095238
Chinese Redbud                 0.1304470865         1.555556         2.027778
Chinese Toon                   0.1862957646         1.569231         1.800000
Chinese Tulip Tree             0.2105976312         1.773585         1.867925
Crape Myrtle                   0.3035118814         2.327869         2.491803
Deodar                         0.0016838835         2.584416         3.311688
Ford Woodlotus                 0.4309563380         1.557692         1.596154
Ginkgo Maidenhair Tree         0.0045554934         4.516129         5.032258
Glossy Privet                  0.4671864865         1.345455         1.490909
Goldenrain Tree                0.2188882952         2.000000         2.305085
Japanese Cheesewood            0.6587986844         1.714286         1.746032
Japanese Flowering Cherry      0.6298357283         1.127273         1.309091
Japanese Maple                 0.1314452923         2.607143         3.392857
Japanese Viburnum              0.0151305391         1.433333         1.650000
Nanmu                          0.2509676477         2.854839         2.967742
Oleander                       0.0012922343         3.545455         4.348485
Peach                          0.0094513925         1.611111         2.333333
Pubescent Bamboo               0.3182237312         1.864407         1.864407
Southern Magnolia              0.2143319811         1.526316         1.649123
Sweet Osmanthus                0.0033152024         1.375000         1.892857
Tangerine                      0.0688601536         1.446429         1.767857
Trident Maple                  0.7081866615         1.358491         1.377358
True Indigo                    0.4863076462         1.602740         1.616438
Wintersweet                    0.0439765654         2.326923         3.192308
Yew Plum Pine                  0.0007362226         3.033333         3.566667

Coefficients of linear discriminants:
                                     LD1           LD2           LD3
diameter                   -7.971852e-03 -9.420777e-03  2.754934e-02
area                       -4.672531e-06 -1.077418e-05 -2.236064e-06
perimeter                  -2.194575e-03 -7.703609e-03 -3.554661e-03
physiological_length        1.429230e-02  1.869807e-02 -1.187762e-02
physiological_width         1.079418e-02  2.054096e-02  3.950267e-03
aspect_ratio                2.326297e+00  2.696701e+00 -1.362119e+01
rectangularity             -6.312520e+00  6.292779e+00  7.087519e+00
circularity                 2.571015e+00 -1.110915e+01  1.939186e+00
compactness                -2.407662e-01  4.427147e-02 -1.132999e-01
NF                          3.435886e+00  1.885115e+00  3.530920e+00
Perimeter_ratio_diameter    1.518863e+00  6.775397e+00  1.116086e+01
Perimeter_ratio_length     -1.629693e+00 -7.143502e-01 -1.645455e+00
Perimeter_ratio_lw          1.610727e+01  7.573286e+00  4.988419e+00
No_of_Convex_points        -1.270694e-02 -1.738232e-02  1.126031e-02
perimeter_convexity        -8.438808e+00 -2.228715e+00 -1.229778e+01
area_convexity              8.373453e+00  2.534221e+00  1.892857e+01
area_ratio_convexity        1.154510e+01 -1.600461e+01  2.010617e+01
equivalent_diameter         2.300902e-03  1.784061e-02 -1.539725e-02
contrast                   -1.418979e-02 -6.920102e-03 -2.331791e-02
correlation_texture        -2.453435e+02 -1.555013e+00 -3.139525e+02
inverse_difference_moments  5.739857e+00 -2.589434e+00 -9.108354e+00
entropy                     3.116952e-02 -6.143483e-02 -9.296327e-01
cx                         -9.294562e-04 -3.024808e-04  8.306510e-04
cy                         -7.606269e-04  6.559091e-04  4.495298e-04
eccentriciry               -7.967820e-02  1.865537e-01  3.533427e+00
Mean_R_val                  1.586435e-02  8.289312e-04  2.574014e-03
Mean_G_val                 -9.209907e-04 -6.000660e-03  2.559303e-02
Mean_B_val                 -1.200686e-02  5.309214e-03 -4.953698e-02
Std_R_val                  -5.004070e-03  1.089441e-02  5.217007e-02
Std_G_val                  -7.627621e-03  9.645735e-03  1.550042e-02
Std_B_val                  -9.670667e-04 -1.233858e-02 -2.305877e-02
correlation                 5.446790e-02 -1.721555e-01 -2.898752e-01
Skewed_polar               -2.426399e-01 -9.926790e-01 -9.131795e-01
Clumpy_polar                4.835368e+00  2.388932e-02 -2.064904e+00
Sparse_polar                1.558703e+01 -2.007467e+01  2.161072e+01
Striated_polar             -1.746694e+00  4.561915e-01  8.596513e-01
Convex_polar                1.412268e+00  1.368340e+01 -1.266376e+01
Skinny_polar               -6.103592e-02  4.359336e-02  1.583591e-02
Stringy_polar               2.784248e+00 -5.500065e-01 -2.516213e-01
Monotonic_polar             3.513325e-01  1.413137e-02 -5.540875e-01
Skewed_contour             -6.419352e-02 -4.069994e-01  4.275782e-01
Clumpy_contour              3.350020e-02 -2.283692e+00 -4.860969e+00
Sparse_contour              1.778050e+01 -2.479358e+01  3.790280e+01
Striated_contour            9.358755e-01  2.180802e-01  2.926716e-01
Convex_contour             -6.312682e-01 -7.012463e-01 -5.951617e-02
Skinny_contour              2.433469e-02  1.557766e-01  1.001940e-01
Stringy_contour             3.591143e-01 -2.799414e-02  1.589070e+00
Monotonic_contour           8.873872e-02  4.334996e-01  3.156410e-01
No_of_max_ponits           -7.808193e-02 -1.867425e-02  8.842753e-03
No_of_min_points            3.583728e-02  6.804949e-02  7.755698e-03
                                     LD4           LD5           LD6
diameter                    3.130569e-02  8.757904e-04 -7.931518e-03
area                        3.733397e-06 -3.039343e-05 -7.448245e-06
perimeter                  -2.606180e-03  7.558698e-03 -2.052751e-03
physiological_length       -3.128234e-02 -3.522661e-02  1.218953e-02
physiological_width        -2.914025e-02 -4.489671e-02 -3.574412e-03
aspect_ratio               -1.067457e+01  8.967492e+00  9.082702e+00
rectangularity             -4.228882e+01 -3.094222e+00 -3.285949e+01
circularity                 3.972587e+01 -4.926844e+01 -7.282030e-01
compactness                -8.855348e-02  5.378379e-02 -7.235248e-02
NF                          3.095855e+00 -2.008582e+00  2.171842e+00
Perimeter_ratio_diameter    6.479281e+00 -9.432681e-01  4.797922e-01
Perimeter_ratio_length     -9.096909e-01  1.034278e+00 -7.426403e-01
Perimeter_ratio_lw          2.401460e+00 -4.834610e+01  1.976961e+01
No_of_Convex_points        -3.103355e-02 -3.464906e-02  5.500876e-02
perimeter_convexity        -5.543974e+01 -1.072001e+01  2.883072e+01
area_convexity              1.676602e+01 -4.854936e+00  2.028700e+01
area_ratio_convexity        1.455114e+01 -1.338155e+01  4.165764e+01
equivalent_diameter         2.335445e-02  8.139601e-02  6.377930e-04
contrast                    8.267859e-03  1.612328e-02  3.783370e-02
correlation_texture         5.017488e+01  3.758040e+02  2.967897e+02
inverse_difference_moments -7.203181e+00 -1.704892e+00  3.928658e+01
entropy                    -3.574878e-01  2.467505e+00  4.724227e+00
cx                         -1.478531e-03  1.435144e-04  3.020782e-03
cy                         -9.376238e-04 -3.999436e-04  2.172709e-03
eccentriciry                5.366985e+00  1.566129e+00 -2.006311e+00
Mean_R_val                  2.297031e-02 -4.409360e-02  1.128540e-01
Mean_G_val                  2.975991e-02  1.743967e-03  3.834993e-02
Mean_B_val                 -3.943253e-02  3.939787e-02 -1.376924e-01
Std_R_val                  -2.904506e-02 -4.751251e-02 -1.181904e-01
Std_G_val                   4.133400e-03 -3.942771e-02 -5.358654e-02
Std_B_val                   1.118491e-02  7.155762e-02  1.206263e-01
correlation                 3.947856e-02 -1.188498e-01  2.339322e-01
Skewed_polar                1.023478e+00 -4.203113e-01  9.997998e-01
Clumpy_polar                3.049278e+00  1.589205e+00 -1.888089e+00
Sparse_polar               -3.104029e+01 -5.916682e+00 -2.003684e+01
Striated_polar             -1.876564e+00  8.875267e-02 -3.856304e-01
Convex_polar               -4.907213e+00 -1.266457e+00 -1.679934e+00
Skinny_polar               -1.673652e-02 -1.217560e-01 -1.292130e-02
Stringy_polar               2.707361e+00  1.669968e+00  1.290646e-01
Monotonic_polar             6.271315e-01  5.078189e-01  1.284053e+00
Skewed_contour             -3.631608e-01  1.065032e+00  1.097350e+00
Clumpy_contour             -2.034640e+00  4.079058e-01  2.327206e+00
Sparse_contour              1.161717e+01  4.099828e+01  3.038239e+01
Striated_contour           -6.708756e-02  2.720727e+00  1.604990e+00
Convex_contour              8.222371e-01 -1.177230e-01  2.207303e+00
Skinny_contour              2.394500e-01  3.496215e-01 -3.417198e-01
Stringy_contour            -2.741547e+00 -4.559684e+00 -2.406867e+00
Monotonic_contour          -3.543718e-01 -1.637665e-01 -1.624750e+00
No_of_max_ponits           -2.172419e-02 -5.845312e-02 -4.224514e-03
No_of_min_points            1.018784e-02  4.557864e-02 -5.429009e-02
                                     LD7           LD8           LD9
diameter                    2.692517e-02 -1.946352e-02  2.554230e-03
area                        1.633417e-05  1.155421e-05 -1.602360e-05
perimeter                   2.536773e-05  2.290103e-03 -1.191391e-03
physiological_length       -2.479055e-02  5.905393e-03 -3.944544e-03
physiological_width        -1.010882e-03 -2.490235e-02  9.285971e-03
aspect_ratio               -1.169560e+01  1.907433e+01 -2.275015e+00
rectangularity              3.443058e+01 -4.487974e+01 -3.009421e+01
circularity                -1.120134e+01 -1.508655e+01 -6.435905e+00
compactness                -3.056472e-02 -4.911081e-02 -3.874184e-02
NF                          6.129983e-02  1.027679e+00 -4.570482e+00
Perimeter_ratio_diameter    3.592099e+00 -6.220382e+00  5.245158e-02
Perimeter_ratio_length      2.893146e-02 -2.180354e-01  2.341657e+00
Perimeter_ratio_lw         -5.393393e+01  1.977668e+01 -1.697824e+00
No_of_Convex_points         5.380232e-02  2.108476e-02  2.707022e-02
perimeter_convexity        -1.032944e+02  3.784988e+01  2.567415e+01
area_convexity             -1.598907e+01  6.333695e+00  1.107567e+01
area_ratio_convexity       -6.821852e+01  3.027366e+01  3.489294e+01
equivalent_diameter        -2.344304e-02  4.658565e-02  1.695582e-02
contrast                    8.872965e-03 -1.573383e-02 -5.358321e-02
correlation_texture         3.473497e+01 -2.820950e+02 -5.894245e+02
inverse_difference_moments  1.163519e+01  6.670051e+00 -3.314835e+01
entropy                     1.245454e-01 -2.492205e+00 -2.187876e+00
cx                         -1.362033e-04 -1.427283e-03  2.238989e-03
cy                          1.009244e-03  6.199577e-04 -6.936932e-04
eccentriciry                1.962096e+00 -6.032384e-01  9.963236e-01
Mean_R_val                  7.031664e-02  1.458293e-02 -1.711337e-02
Mean_G_val                  2.873298e-02  1.864450e-02  2.377472e-03
Mean_B_val                 -1.052574e-01 -4.271185e-02 -9.534741e-03
Std_R_val                  -2.089270e-02 -1.532051e-02  7.495521e-02
Std_G_val                   1.342672e-02  2.093595e-02  8.551403e-04
Std_B_val                   3.435293e-02  3.148097e-02 -4.336243e-02
correlation                -6.092216e-02 -2.187536e-01  3.409189e-01
Skewed_polar                1.203356e+00  1.040680e+00 -1.651419e+00
Clumpy_polar                4.184459e+00 -1.481152e+00  3.154007e+00
Sparse_polar                2.196537e+01  1.867918e-01 -6.426026e+01
Striated_polar              5.806865e-01  3.095829e-01  4.561311e-01
Convex_polar               -3.453458e+00  1.018184e+01  5.893341e+00
Skinny_polar                1.265650e-02  2.240510e-01  2.266861e-01
Stringy_polar              -6.854365e-01  2.850758e+00 -2.158296e+00
Monotonic_polar             4.603257e-01 -7.202742e-01 -4.715725e-01
Skewed_contour             -6.629803e-01  2.545675e-01  1.751976e+00
Clumpy_contour             -3.588370e+00 -4.957280e+00  1.464112e+00
Sparse_contour             -2.366604e+00 -3.022267e+01  5.435375e+00
Striated_contour           -2.004724e+00  5.856801e-01 -4.700986e+00
Convex_contour             -2.345833e+00 -1.238601e+00  5.746964e+00
Skinny_contour             -1.729126e-01 -2.879046e-01  7.673095e-01
Stringy_contour             2.843469e+00 -2.904941e+00  5.837451e+00
Monotonic_contour           1.206996e+00  1.885774e-01  4.989041e-01
No_of_max_ponits            9.156847e-03  8.362400e-03 -5.772511e-02
No_of_min_points            1.885101e-02  2.532177e-02  4.703792e-02
                                    LD10          LD11          LD12
diameter                    8.947323e-03 -1.375160e-02 -2.216655e-02
area                       -1.809294e-05  3.903081e-06 -2.586931e-05
perimeter                   7.594905e-03  1.559819e-02 -7.378365e-03
physiological_length       -2.761704e-02 -4.103722e-02  4.068804e-02
physiological_width        -2.919175e-02 -6.551588e-02  4.390544e-02
aspect_ratio               -1.724056e+00  6.153172e+00  2.491543e-01
rectangularity             -1.083110e+01 -2.175996e+01  2.361472e+01
circularity                -3.299545e+00 -2.443103e+01  8.021383e+00
compactness                -1.444708e-02  3.965633e-02  2.517299e-02
NF                         -7.569506e-01  2.801463e+00  4.344419e+00
Perimeter_ratio_diameter    3.862384e+00 -1.188815e+00 -9.071481e+00
Perimeter_ratio_length      5.134713e-01 -1.182311e+00 -2.243875e+00
Perimeter_ratio_lw         -1.923833e+01 -3.221587e+01  3.931337e+01
No_of_Convex_points         4.923818e-02  9.397654e-03  9.610038e-03
perimeter_convexity         1.086210e+01 -2.659278e+00 -1.012784e+01
area_convexity             -1.206812e+01  5.339789e+00 -1.191080e+01
area_ratio_convexity       -2.561605e+01  1.788757e+01 -2.477064e+01
equivalent_diameter         3.485856e-02  5.896336e-02 -1.838627e-02
contrast                    5.286105e-04 -8.322182e-03 -7.204013e-02
correlation_texture         4.309175e+01  1.049003e+01 -2.388504e+02
inverse_difference_moments -5.314122e+01  1.839806e+01  2.957119e+01
entropy                    -2.665675e+00  1.795149e+00  5.127179e+00
cx                         -1.449219e-03  1.895989e-03 -9.082399e-04
cy                         -4.274909e-03 -3.631830e-03  1.724829e-03
eccentriciry               -2.998853e+00 -2.266378e+00  3.586421e+00
Mean_R_val                 -8.848930e-02  5.033575e-02  3.328487e-02
Mean_G_val                  3.488742e-02 -1.613364e-02  4.810101e-02
Mean_B_val                  7.373814e-02 -8.553371e-02 -4.028766e-02
Std_R_val                  -5.164978e-02 -3.952167e-03 -1.080867e-01
Std_G_val                  -2.883761e-02 -6.700539e-03 -1.644596e-02
Std_B_val                   1.353732e-02  1.269257e-01  4.199957e-02
correlation                -7.379037e-01 -2.342971e-01 -3.233443e-01
Skewed_polar                2.104684e-01 -3.664169e-01  2.759222e+00
Clumpy_polar               -3.171984e+00  2.806860e+00 -4.966448e-02
Sparse_polar               -1.337390e+01 -6.819338e+01  9.460046e+00
Striated_polar              1.326963e+00  1.682575e+00 -2.938958e+00
Convex_polar                4.146598e+01  4.495277e+01 -3.553016e+01
Skinny_polar                8.463049e-02  1.564821e-01 -1.795535e-01
Stringy_polar               1.045366e+01 -2.498971e+00  3.547137e+00
Monotonic_polar            -1.181635e+00 -2.109207e+00 -3.780109e-01
Skewed_contour             -2.346208e-01  3.799023e-01 -1.234801e+00
Clumpy_contour             -1.983546e+00  7.248492e-01  1.444535e+00
Sparse_contour             -4.612435e+01 -2.686461e+01  1.334123e+00
Striated_contour           -2.521398e+00 -1.581443e+00  2.216384e+00
Convex_contour              1.533291e+00  4.902076e+00  1.071719e+01
Skinny_contour              4.457671e-02  2.382609e-02 -1.803707e-03
Stringy_contour             6.418422e+00  7.693416e+00 -8.257555e+00
Monotonic_contour          -1.548693e+00 -2.045039e-03 -6.890378e-03
No_of_max_ponits           -7.979870e-02  1.287812e-01 -9.682507e-02
No_of_min_points            8.328733e-02 -9.908613e-02  1.576601e-01
                                    LD13          LD14          LD15
diameter                    8.434726e-03  8.322784e-03  2.657814e-02
area                       -7.012611e-06 -3.052342e-07 -5.925811e-06
perimeter                  -3.323621e-04  8.770458e-03  6.652419e-03
physiological_length       -1.453680e-02 -3.318372e-02 -3.543895e-02
physiological_width         4.104079e-03 -2.428308e-02 -4.603893e-02
aspect_ratio               -1.058394e+01 -7.706828e+00  1.290735e+00
rectangularity              2.629957e+00 -2.537250e+01 -4.917640e+00
circularity                -8.755955e+00 -4.862009e+00 -1.161685e+00
compactness                 3.831634e-02 -5.974058e-02  7.969556e-03
NF                          3.337713e+00 -4.109027e+00 -3.734263e+00
Perimeter_ratio_diameter   -2.808501e-01  5.370468e+00  9.217464e+00
Perimeter_ratio_length     -1.646154e+00  2.183147e+00  1.812488e+00
Perimeter_ratio_lw         -9.051581e+00 -1.098933e+01 -3.999133e+01
No_of_Convex_points         1.031173e-02  1.977716e-02  1.869860e-03
perimeter_convexity        -3.148568e+01  6.116905e+01 -1.586803e+01
area_convexity              5.869905e+00  1.144439e+00  4.533839e-01
area_ratio_convexity        1.827043e+01  2.359691e-01  7.337010e-01
equivalent_diameter         8.225555e-03  2.281113e-02  1.259979e-02
contrast                   -4.827326e-02 -3.336427e-03 -5.619444e-02
correlation_texture        -4.231675e+02 -1.288032e+01 -5.225309e+02
inverse_difference_moments  2.607651e+01  3.305778e+01  2.884478e+01
entropy                     2.363703e+00  1.706961e+00  3.545975e+00
cx                         -4.433696e-03  8.350966e-04 -4.471838e-03
cy                          1.248024e-03  6.781178e-03  3.546460e-04
eccentriciry               -4.779631e+00  3.038859e+00 -8.423320e+00
Mean_R_val                 -2.459240e-02 -2.386812e-01  4.452030e-03
Mean_G_val                  4.806627e-02 -5.175534e-02  3.318673e-02
Mean_B_val                 -4.378622e-02  2.884937e-01 -1.657204e-02
Std_R_val                   8.771044e-02  8.663450e-03  1.134601e-02
Std_G_val                  -8.396194e-03 -4.337686e-02  2.611574e-02
Std_B_val                  -1.997498e-02 -1.528359e-02 -9.380541e-02
correlation                -9.615139e-02  6.579505e-01  2.318417e-01
Skewed_polar               -1.050762e+00 -2.417573e+00 -3.121238e-01
Clumpy_polar                9.200642e-01 -3.170509e+00  4.528892e+00
Sparse_polar               -1.383444e+01  4.319515e+01  5.657728e+01
Striated_polar              1.375436e+00  2.793558e+00 -2.827675e+00
Convex_polar               -1.790185e+01  3.819856e+01 -4.940743e+01
Skinny_polar               -1.979431e-01  2.377060e-01  5.668911e-02
Stringy_polar              -5.349097e+00 -3.474573e-02 -5.429977e+00
Monotonic_polar            -2.190182e+00  1.384544e+00  2.243885e+00
Skewed_contour              1.524669e+00  2.221935e-01 -1.396435e+00
Clumpy_contour              2.986359e-01 -1.221374e+00  2.494306e+00
Sparse_contour             -3.516050e+01 -5.678260e+01  1.319008e+02
Striated_contour           -9.138739e+00 -5.948616e+00  8.006827e+00
Convex_contour             -4.270942e+00 -3.528607e+00 -3.569545e+00
Skinny_contour             -1.526260e-01  6.719059e-01 -2.457068e-01
Stringy_contour             1.439992e+01  1.177711e+01 -1.817468e+01
Monotonic_contour          -3.260917e-01  4.768662e-01  7.001154e-01
No_of_max_ponits           -2.091575e-01  1.340300e-01 -1.358830e-01
No_of_min_points            1.392375e-01 -1.436656e-01 -6.484669e-02
                                    LD16          LD17          LD18
diameter                    1.088348e-02 -1.879051e-02 -2.373875e-03
area                       -1.002537e-05  1.411517e-05  1.719085e-05
perimeter                  -3.493200e-03 -1.062965e-03 -2.945465e-03
physiological_length       -1.110918e-03  2.800433e-02  3.609214e-03
physiological_width         2.269937e-02  2.366052e-02 -1.636509e-02
aspect_ratio               -1.203151e+01  2.924358e+00  8.626216e+00
rectangularity              1.013116e+01 -4.290603e+00  7.597721e+00
circularity                 5.659069e-02  1.474405e+01 -1.361260e+01
compactness                 6.765297e-02 -4.143405e-02  4.261723e-04
NF                         -2.105983e+00 -2.405337e+00  8.457149e-02
Perimeter_ratio_diameter    3.967993e+00 -7.133484e+00  6.568404e-01
Perimeter_ratio_length      7.774707e-01  1.091977e+00 -3.545971e-02
Perimeter_ratio_lw          8.916238e-01  2.270123e+01 -1.919372e+01
No_of_Convex_points        -4.677037e-03  8.787402e-05 -1.449862e-02
perimeter_convexity         1.623819e+00  1.301915e+01 -4.655236e+01
area_convexity             -1.290893e+01 -1.423446e+01  2.473416e+01
area_ratio_convexity       -7.103852e+00 -1.885713e+01  3.512181e+01
equivalent_diameter         4.972823e-04 -4.619032e-02 -1.280805e-02
contrast                    3.505297e-02  2.656004e-02  7.752549e-03
correlation_texture        -2.025632e+02  1.421549e+02  2.691857e+02
inverse_difference_moments  2.488824e+01  1.487843e+01 -1.082772e+01
entropy                    -2.053375e-01  2.069097e-01  3.561619e-02
cx                          2.712032e-03 -7.588426e-03  6.579585e-03
cy                         -3.283104e-03  1.919787e-03  3.463358e-03
eccentriciry                6.307578e-01  4.400508e-01 -2.846881e+00
Mean_R_val                  1.039793e-01 -6.298968e-02 -1.021794e-01
Mean_G_val                  9.689606e-02 -2.307290e-02  4.435930e-02
Mean_B_val                 -1.582337e-01  6.278034e-02  6.980361e-02
Std_R_val                  -1.340852e-01  2.298566e-02 -2.991576e-02
Std_G_val                  -2.259392e-02  2.077644e-02  1.786648e-03
Std_B_val                   9.519443e-02  2.423902e-02  1.043691e-02
correlation                -6.844577e-01 -4.615276e-02  7.137179e-01
Skewed_polar                1.469362e+00  2.507661e-01  4.710506e-01
Clumpy_polar               -1.182434e+00 -1.155624e+00  2.070128e+00
Sparse_polar                5.592981e+01 -3.102502e-01 -5.212970e+01
Striated_polar              3.719878e+00  3.062429e-02 -7.638754e-01
Convex_polar                1.831066e+01 -4.573032e+01  6.360422e+01
Skinny_polar                1.578971e-01  2.843688e-01 -2.536660e-01
Stringy_polar               4.352530e+00 -8.877046e-01  1.417211e+00
Monotonic_polar            -7.556600e-01  1.163857e+00 -3.058287e-01
Skewed_contour             -2.816974e+00  3.098817e-01 -1.639209e+00
Clumpy_contour             -1.089165e+00  1.450688e+00  1.174630e+00
Sparse_contour              1.720735e+01  1.367552e+02 -4.695463e+01
Striated_contour            3.853793e+00 -1.212234e+00  2.494630e+00
Convex_contour              9.534920e-01  5.222965e+00  9.320621e-01
Skinny_contour             -9.143660e-03  5.862304e-01  7.669889e-01
Stringy_contour            -1.188956e+00  4.869261e-01  7.801590e+00
Monotonic_contour           1.520822e+00 -3.033899e+00 -1.903526e+00
No_of_max_ponits            4.935964e-02 -2.101809e-01  7.940333e-02
No_of_min_points            7.445522e-02 -4.157714e-02 -6.356932e-02
                                    LD19          LD20          LD21
diameter                   -4.322612e-03  2.009851e-02 -4.030318e-02
area                       -1.578720e-05  1.330326e-05 -1.743709e-05
perimeter                   7.583444e-03 -2.948081e-04 -1.262819e-02
physiological_length       -1.567698e-02 -1.795545e-02  5.401973e-02
physiological_width        -2.682397e-02 -5.618098e-03  4.957929e-02
aspect_ratio                7.480656e+00 -1.674128e+01  4.781662e+00
rectangularity             -9.762284e+00 -9.602141e+00 -4.300172e+00
circularity                -1.119884e+01  8.365411e+00 -1.990049e+00
compactness                -3.715397e-02 -1.157591e-02  2.210837e-02
NF                         -4.356292e+00  4.633775e+00  3.481851e+00
Perimeter_ratio_diameter    1.272928e-01  6.845018e+00 -1.617659e+01
Perimeter_ratio_length      2.265672e+00 -2.135129e+00 -1.730465e+00
Perimeter_ratio_lw         -1.327977e+01 -4.749682e+00  6.906511e+01
No_of_Convex_points         3.157482e-03  3.111253e-03  1.386673e-02
perimeter_convexity         6.134804e+01 -1.628010e+01  1.741151e+01
area_convexity              1.686987e+01 -9.319493e+00 -3.638015e+00
area_ratio_convexity        1.220187e+01 -1.207240e+01  6.210355e+00
equivalent_diameter         2.187723e-02 -1.063954e-02  1.133664e-03
contrast                    4.755709e-02  6.936072e-02  1.306916e-02
correlation_texture         8.855230e+02  7.512427e+02  2.267284e+02
inverse_difference_moments -1.015083e+01 -2.802097e+01 -1.587939e+01
entropy                     9.335421e-01 -2.701105e+00  4.400275e-01
cx                         -5.488865e-03 -2.567179e-03 -2.071296e-04
cy                          2.952957e-03 -8.627273e-04 -4.655773e-03
eccentriciry                1.488606e+00 -9.992975e+00  8.109492e-01
Mean_R_val                  9.537168e-02 -2.019578e-01 -2.783201e-02
Mean_G_val                  1.219923e-01 -3.219895e-02  8.206871e-02
Mean_B_val                 -2.110632e-01  2.189390e-01 -6.213803e-02
Std_R_val                  -1.044330e-01  1.749572e-01  2.480865e-02
Std_G_val                   4.605205e-04  4.627741e-02  2.207151e-02
Std_B_val                   1.413510e-01 -1.808631e-01 -2.489740e-02
correlation                -2.377546e-01 -9.322056e-01  2.933703e-01
Skewed_polar                2.551630e-01  2.263540e+00 -1.624856e+00
Clumpy_polar               -9.630988e-02 -3.419575e+00 -3.446550e+00
Sparse_polar               -1.636002e+01 -1.912950e+01  1.591291e+01
Striated_polar              1.963531e-02 -6.379169e+00 -2.463969e-01
Convex_polar                2.984512e-01 -8.598565e+01 -1.298768e+01
Skinny_polar                3.118981e-01 -8.095925e-03  2.220814e-01
Stringy_polar              -7.177378e+00 -6.141244e+00 -9.025378e+00
Monotonic_polar            -2.753301e+00 -3.826868e-01  2.434456e+00
Skewed_contour             -1.791244e+00  2.149451e+00  3.472000e+00
Clumpy_contour             -1.711667e+00  2.780787e+00 -2.927570e+00
Sparse_contour              1.422823e+01  2.446899e+01  5.477598e+01
Striated_contour            3.000453e+00 -1.059746e+00 -5.411190e+00
Convex_contour              1.476986e+00  4.174541e+00 -6.504589e+00
Skinny_contour             -7.103448e-01  2.540055e-01 -2.765439e-01
Stringy_contour             1.484523e+00 -4.057936e+00  3.162667e+00
Monotonic_contour           4.547988e-01  1.859838e+00  1.024165e+00
No_of_max_ponits           -4.733149e-03  2.415488e-02 -9.060095e-02
No_of_min_points           -2.110077e-02 -1.230991e-01 -1.102976e-01
                                    LD22          LD23          LD24
diameter                    1.332008e-02 -4.143971e-02 -6.617002e-03
area                       -1.945068e-05 -4.005766e-06 -4.838435e-06
perimeter                  -1.095599e-02 -1.470726e-03 -4.815178e-03
physiological_length        3.409242e-03  4.408181e-02  2.010403e-02
physiological_width         3.409199e-02  9.859358e-03  3.958955e-03
aspect_ratio               -1.822207e+01  1.504700e+01  1.632627e+01
rectangularity              2.349789e+01 -1.280083e+01 -4.216962e+00
circularity                -1.216166e+01  7.125643e+00  3.487312e+00
compactness                 1.510621e-01 -3.726817e-02  5.402045e-02
NF                          1.947374e-01 -1.253813e+00 -8.336697e+00
Perimeter_ratio_diameter    4.662643e+00 -1.338876e+01 -8.802769e+00
Perimeter_ratio_length     -4.225960e-01  6.815510e-01  3.801824e+00
Perimeter_ratio_lw          8.462437e-01  3.091271e+01  1.618051e+01
No_of_Convex_points        -1.004478e-03  2.735201e-03  4.810730e-03
perimeter_convexity        -3.433748e+01  3.999213e+00 -2.702811e+01
area_convexity              5.978366e+00  4.746171e+00 -1.262174e+01
area_ratio_convexity        2.608089e+01  1.028787e+01 -6.227228e+00
equivalent_diameter         1.498203e-02 -2.186304e-03 -1.573646e-03
contrast                    2.494002e-02 -2.603124e-02  2.043486e-02
correlation_texture         2.159434e+02 -2.855240e+01  4.844042e+02
inverse_difference_moments  1.168009e+01  1.268172e+01 -4.068272e+00
entropy                     1.542101e+00  1.873960e+00  5.702532e-02
cx                         -5.980248e-03 -1.292609e-03  2.235699e-03
cy                         -5.211191e-04 -5.827581e-03  4.280635e-04
eccentriciry               -6.011223e-01  8.737217e-01  1.570552e-03
Mean_R_val                  1.225406e-02  5.152403e-02 -2.015931e-02
Mean_G_val                 -7.441303e-02 -1.570345e-02 -2.771031e-02
Mean_B_val                  1.131551e-01 -8.015481e-03  6.363177e-02
Std_R_val                  -1.102211e-01 -9.952666e-02  8.857434e-02
Std_G_val                   2.703059e-02 -5.247425e-02  5.133505e-02
Std_B_val                   2.512907e-03  6.510338e-02 -1.418456e-01
correlation                 1.007164e+00 -1.445239e+00  6.114024e-01
Skewed_polar               -3.871272e+00 -7.231058e-01  2.626724e+00
Clumpy_polar                1.004793e+01 -9.473916e+00  7.438790e+00
Sparse_polar                1.020452e+02  2.013758e+01 -1.059404e+01
Striated_polar             -3.176878e+00  4.412867e+00 -4.314371e+00
Convex_polar               -1.728237e+01 -3.816171e+01  4.868628e+01
Skinny_polar                5.433255e-01 -5.406148e-01 -4.787671e-01
Stringy_polar               1.888157e+01 -8.183620e+00  1.444550e+01
Monotonic_polar            -2.443489e+00 -2.048052e+00  2.441263e-02
Skewed_contour             -1.063048e+00 -3.084443e-01  5.573946e+00
Clumpy_contour             -7.817236e-01 -5.236257e+00  3.456549e+00
Sparse_contour             -1.338347e+02 -1.592804e+00 -1.000040e+02
Striated_contour           -1.037656e+01 -1.277047e+01 -5.550937e+00
Convex_contour             -1.343839e+00 -2.886608e+00  2.645839e+00
Skinny_contour              6.888720e-01  6.129374e-01 -1.503204e+00
Stringy_contour             8.256834e+00  1.782156e+01  3.827725e+00
Monotonic_contour           2.991712e-01  2.264167e+00 -1.666497e+00
No_of_max_ponits            2.980861e-03  1.611537e-01  2.155638e-02
No_of_min_points            6.267928e-02 -1.968731e-01 -1.256915e-01
                                    LD25          LD26          LD27
diameter                    1.855016e-02 -1.003786e-02 -5.767417e-03
area                        1.159278e-07  1.944614e-05 -2.296344e-05
perimeter                  -1.581272e-02  1.522270e-02 -1.792409e-03
physiological_length        7.259562e-03 -6.570610e-03  9.062682e-04
physiological_width         2.750262e-02 -2.414699e-02  7.437020e-03
aspect_ratio               -1.259667e+01  1.483042e+01 -1.465558e+00
rectangularity              1.491687e+01 -9.916347e-01  2.666747e+01
circularity                -1.361712e+01  7.742796e+00 -2.299028e+01
compactness                 1.658111e-02  1.316621e-02  1.125069e-01
NF                         -8.228219e+00 -1.493199e+00 -7.683595e-01
Perimeter_ratio_diameter    4.623849e+00 -3.408181e+00 -8.603736e-01
Perimeter_ratio_length      3.819200e+00  5.839070e-01  1.778119e-01
Perimeter_ratio_lw          5.950967e+00 -2.951970e+01 -1.518883e+01
No_of_Convex_points        -6.206063e-03 -3.308379e-03 -9.114011e-03
perimeter_convexity        -2.861736e+00 -2.226197e+01 -1.010378e+01
area_convexity              7.785255e+00 -2.406957e+00  1.943305e+01
area_ratio_convexity        4.250744e+00  1.091159e+01  2.729984e+01
equivalent_diameter         2.088719e-02 -4.447425e-02  4.870605e-02
contrast                   -9.236357e-03  7.886309e-03  1.721290e-02
correlation_texture        -4.400407e+02  1.342541e+02  1.550062e+02
inverse_difference_moments -3.323377e+00  4.420192e+00  3.961373e+00
entropy                    -2.066277e+00  1.325020e-01 -5.512193e-01
cx                         -1.364319e-03 -5.173480e-03 -3.145257e-04
cy                         -3.259945e-03 -1.237646e-03 -1.705308e-03
eccentriciry               -6.722875e-01  3.004970e+00  3.622389e+00
Mean_R_val                 -6.877912e-02 -1.232840e-01 -5.183397e-02
Mean_G_val                  1.204618e-02  2.368335e-02 -7.320219e-03
Mean_B_val                  1.211154e-02  4.606727e-02  5.484404e-02
Std_R_val                   4.849926e-02  3.423952e-02  5.174425e-02
Std_G_val                  -6.677522e-02 -4.944084e-02  3.809570e-03
Std_B_val                   2.642735e-02  7.599073e-02 -7.329280e-02
correlation                 3.173623e-01  1.411517e+00 -9.994451e-01
Skewed_polar               -5.360096e-01  8.390925e-02  5.281524e+00
Clumpy_polar               -9.067174e+00  6.064205e+00 -5.439113e+00
Sparse_polar               -1.244554e+01 -5.228361e+01 -1.146036e+02
Striated_polar              2.399980e+00 -2.442344e+00  1.015320e+01
Convex_polar                6.438673e+01 -1.818198e+01  6.684502e+01
Skinny_polar               -5.692476e-01 -1.393932e-01  1.011612e+00
Stringy_polar               7.316485e+00 -8.826525e+00 -2.366588e+01
Monotonic_polar            -2.523098e+00  2.011897e+00  6.114361e-01
Skewed_contour             -1.563573e+00  1.208471e+00  4.370680e+00
Clumpy_contour              1.091561e+01 -2.324066e+00 -8.754620e+00
Sparse_contour             -5.019425e+01 -2.958513e+01 -1.824937e+02
Striated_contour            3.807235e+00  9.610582e+00 -1.153143e+01
Convex_contour              4.013399e+00 -1.708889e+00  1.999444e+00
Skinny_contour             -1.210647e+00 -1.557932e+00 -4.245861e-01
Stringy_contour            -1.359877e+01 -8.295788e+00  2.666147e+00
Monotonic_contour          -1.408465e+00 -2.848893e-01 -4.828813e-01
No_of_max_ponits           -6.983543e-02 -2.852246e-01 -5.711271e-01
No_of_min_points           -9.171551e-02  7.156633e-01  2.977062e-01
                                    LD28          LD29          LD30
diameter                    9.748124e-03  3.273596e-02 -1.998323e-02
area                       -1.054931e-06  5.010602e-07 -8.242916e-06
perimeter                   3.207780e-04 -8.228284e-03  7.481682e-03
physiological_length       -9.929006e-03 -1.322238e-02  5.756357e-03
physiological_width        -7.753282e-03  1.155384e-02 -3.397787e-03
aspect_ratio               -6.864512e-01 -2.273035e+01  9.450900e+00
rectangularity              1.089698e+01  1.070917e+00  1.020442e+01
circularity                -8.221494e+00 -1.213604e+00 -7.000645e+00
compactness                 3.696415e-03 -2.395078e-02  7.632487e-02
NF                         -6.341091e+00 -2.773109e+00 -2.351848e+00
Perimeter_ratio_diameter    1.462081e+00  2.127621e+01 -7.306546e+00
Perimeter_ratio_length      2.990851e+00  1.322931e+00  9.441441e-01
Perimeter_ratio_lw         -1.699387e+01 -9.850133e+00 -8.274881e+00
No_of_Convex_points        -6.133580e-03 -4.293235e-04  1.157352e-02
perimeter_convexity         9.003886e+00  4.367282e+01 -2.003691e+00
area_convexity              1.475231e+01 -1.768321e+01  4.369222e+00
area_ratio_convexity        1.278017e+01 -3.433539e+01  1.344882e+01
equivalent_diameter         7.146246e-03 -1.570451e-02  9.348629e-03
contrast                    5.120395e-03 -1.965175e-03  2.248257e-02
correlation_texture        -7.810792e+01 -1.192059e+02  1.720813e+02
inverse_difference_moments -3.637542e+00  6.578063e+00 -2.012132e+01
entropy                    -4.105535e-01  1.516276e+00 -1.558578e+00
cx                          1.098438e-03  1.202599e-03 -8.591934e-04
cy                         -1.981024e-03 -2.874569e-03  2.559877e-05
eccentriciry               -2.834226e+00  4.469476e+00  4.426437e+00
Mean_R_val                 -1.329222e-01 -5.205017e-02 -1.862495e-01
Mean_G_val                 -2.126696e-02 -2.206603e-02 -9.937201e-02
Mean_B_val                  1.194564e-01  7.631879e-02  2.785820e-01
Std_R_val                   1.691707e-01  1.691519e-01  1.969434e-01
Std_G_val                   4.211453e-02  8.264954e-02  8.640595e-02
Std_B_val                  -1.338047e-01 -2.336880e-01 -2.078224e-01
correlation                -4.792401e-01  1.095698e+00  2.861335e-01
Skewed_polar               -7.579091e+00  6.694999e+00 -3.871196e+00
Clumpy_polar               -6.598145e+00 -5.342809e+00 -2.057717e+01
Sparse_polar                1.027055e+02  2.158870e+01  1.080353e+02
Striated_polar             -9.729105e+00  9.820611e+00  1.037194e+01
Convex_polar                2.472765e+01  7.975660e+01 -5.407680e+01
Skinny_polar                4.796308e-01  3.497595e-01 -2.121116e-01
Stringy_polar               4.212587e+01 -7.662932e+00 -1.070693e+01
Monotonic_polar             4.833025e-01 -6.320508e-01 -1.073553e-01
Skewed_contour             -5.578096e+00 -4.339226e+00 -7.968339e+00
Clumpy_contour             -1.280408e+01  1.854471e+01  1.915005e+00
Sparse_contour              2.568436e+02 -2.478974e+02 -1.307307e+02
Striated_contour           -1.207741e+01 -8.042660e+00 -2.064474e+00
Convex_contour              1.672955e+00  1.872998e-02 -2.864524e-01
Skinny_contour             -1.136379e+00 -1.559449e-01  1.756911e+00
Stringy_contour             3.917261e+01  2.140202e+01 -2.824550e+01
Monotonic_contour           7.482649e-01 -9.368273e-01  1.116234e+00
No_of_max_ponits            1.776700e-01 -1.903016e-01 -1.390069e-01
No_of_min_points           -1.230251e-01  3.735427e-01  7.522640e-02
                                    LD31
diameter                    1.739184e-02
area                       -1.196640e-05
perimeter                  -9.685813e-03
physiological_length        4.935889e-03
physiological_width         3.931946e-02
aspect_ratio               -2.234034e+01
rectangularity              1.341311e+01
circularity                 9.335427e+00
compactness                 2.532041e-02
NF                         -1.561800e+00
Perimeter_ratio_diameter    7.426086e-01
Perimeter_ratio_length      6.367441e-01
Perimeter_ratio_lw          1.308709e+01
No_of_Convex_points         4.936908e-03
perimeter_convexity        -1.796908e+01
area_convexity             -6.954137e-01
area_ratio_convexity       -4.138351e+00
equivalent_diameter        -1.181500e-02
contrast                   -8.982632e-03
correlation_texture         2.434163e+02
inverse_difference_moments -1.533797e+00
entropy                     4.226500e-01
cx                          3.524974e-04
cy                         -4.928671e-03
eccentriciry               -6.365555e+00
Mean_R_val                  1.063545e-02
Mean_G_val                 -5.791689e-02
Mean_B_val                  6.005606e-02
Std_R_val                  -1.054664e-01
Std_G_val                  -4.492805e-03
Std_B_val                   1.268914e-01
correlation                 1.626516e-01
Skewed_polar                2.428494e+00
Clumpy_polar               -1.709918e+01
Sparse_polar               -5.801309e+01
Striated_polar              1.028613e+01
Convex_polar                1.165226e+02
Skinny_polar                2.720802e-01
Stringy_polar              -1.968886e+01
Monotonic_polar             2.184840e+00
Skewed_contour             -1.325425e+00
Clumpy_contour              5.766638e+00
Sparse_contour              1.454752e+02
Striated_contour            6.268537e+00
Convex_contour              7.386268e-01
Skinny_contour             -1.480371e+00
Stringy_contour             3.033624e+01
Monotonic_contour          -7.544780e-01
No_of_max_ponits            1.291987e-01
No_of_min_points           -4.186719e-02

Proportion of trace:
   LD1    LD2    LD3    LD4    LD5    LD6    LD7    LD8    LD9   LD10   LD11 
0.4107 0.2441 0.0862 0.0514 0.0411 0.0355 0.0215 0.0172 0.0153 0.0129 0.0115 
  LD12   LD13   LD14   LD15   LD16   LD17   LD18   LD19   LD20   LD21   LD22 
0.0097 0.0077 0.0062 0.0061 0.0039 0.0033 0.0033 0.0027 0.0022 0.0020 0.0016 
  LD23   LD24   LD25   LD26   LD27   LD28   LD29   LD30   LD31 
0.0009 0.0008 0.0006 0.0005 0.0004 0.0002 0.0002 0.0001 0.0000 

LDA.values1 <- predict(LDA1)

lda_data_new1 <- data.frame(LDA1 = LDA.values1$x[,1], LDA2 = LDA.values1$x[,2], LDA3 = LDA.values1$x[,3], Species = data_new1$Species)

lda_data_new1 %>% head(5)

      LDA1     LDA2      LDA3        Species
1 4.320105 3.861045 -6.856050 Chinese Redbud
2 4.195154 4.420793 -7.679741 Chinese Redbud
3 5.325019 6.494875 -6.582522 Chinese Redbud
4 3.772336 2.872566 -6.973942 Chinese Redbud
5 4.637272 5.494300 -6.508956 Chinese Redbud

lda_data1 <- data.frame(x = LDA.values1$x[,1], y = LDA.values1$x[,2], col = data_new1$Species)
scagnostic_lda1 <- bind_cols(data_new1, lda_data1)

p1 <- ggplot(scagnostic_lda1, aes(x=x, y=y, color=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("LDA1 Vs LDA2 by Actual Species") + xlab("LDA1") + ylab("LDA2") + theme(aspect.ratio = 1) 

p1b <- p1 + theme(legend.position = "none")

p1b

lda_data_11 <- data.frame(x = LDA.values1$x[,1], y = LDA.values1$x[,3], col = data_new1$Species)
scagnostic_lda_11 <- bind_cols(data_new1, lda_data_11)

p1_11 <- ggplot(scagnostic_lda_11, aes(x=x, y=y, color=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("LDA1 Vs LDA3 by Actual Species") + xlab("LDA1") + ylab("LDA3") + theme(aspect.ratio = 1) 

p2b1 <- p1_11 + theme(legend.position = "none")

p2b1

lda_data_21 <- data.frame(x = LDA.values1$x[,2], y = LDA.values1$x[,3], col = data_new1$Species)
scagnostic_lda_21 <- bind_cols(data_new1, lda_data_21)

p1_21 <- ggplot(scagnostic_lda_21, aes(x=x, y=y, color=Species)) + geom_point(alpha = 0.5) +coord_equal()+ scale_colour_manual(values = c("#a6611a","#d7191c","#e66101","#1b9e77","#3182bd","#d95f02","#7570b3","#fc8d92","#31a354","#7b3294","#d01c8b","#8da0cb","#b2df8a","#3f007d","#67000d","#525252","#006d2c","#3690c0","#88419d","#8c96c6","#238B45","#fed976","#fc4e2a","#fe9929","#dd3497","#3690c0","#e7298a","#7f0000","#bcbddc","#66c2a4","#045a8d","#253494")) + ggtitle("LDA2 Vs LDA3 by Actual Species") + xlab("LDA2") + ylab("LDA3") + theme(aspect.ratio = 1) 
p3b1 <- p1_21 + theme(legend.position = "none")

p3b

p1h <- p1b + theme(plot.title = element_blank())

p2h <- p2b1 + theme(plot.title = element_blank())

p3h <- p1_21 + theme(plot.title = element_blank())

p1h + p2h + p3h + plot_annotation(
  title = 'LDA with Actual Species',
  tag_levels = 'A'
) & theme(plot.tag = element_text(size = 8))